﻿89:@0.921900:0.506059:0.940807:0.506059:0.940807:0.489435:0.921900:0.489435:0.000000:0.000000
Tema:@0.916251:0.135535:0.952383:0.135535:0.952383:0.113808:0.916251:0.113808:0.000000:0.000000:0.000000:0.000000
M.5.2.16. Describir la parábola como lugares geométricos en el plano. :@0.124779:0.066316:0.449825:0.066316:0.449825:0.055887:0.124779:0.055887:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
M.5.2.17. Escribir y reconocer las ecuaciones cartesianas de la parábola con centro en el origen y con centro fuera del origen para resolver y plantear problemas, :@0.124779:0.076878:0.877034:0.076878:0.877034:0.066448:0.124779:0.066448:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
identificando la validez y pertinencia de los resultados obtenidos.:@0.124779:0.087439:0.428717:0.087439:0.428717:0.077010:0.124779:0.077010:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Ecuación cartesiana de la parábola:@0.115281:0.137008:0.625241:0.137008:0.625241:0.096272:0.115281:0.096272:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Actividad resuelta:@0.115281:0.654609:0.272404:0.654609:0.272404:0.636172:0.115281:0.636172:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Analicemos:@0.115281:0.674455:0.204434:0.674455:0.204434:0.657831:0.115281:0.657831:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 el lugar geométrico que representa la siguiente ecuación:   + 4  – 2  + 2 = 0.:@0.204434:0.674455:0.775563:0.674455:0.775563:0.658066:0.204434:0.658066:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.634270:0.674455:0.641752:0.674455:0.641752:0.658094:0.634270:0.658094:0.000000
2:@0.641750:0.668408:0.646993:0.668408:0.646993:0.658853:0.641750:0.658853:0.000000
x:@0.675040:0.674455:0.682504:0.674455:0.682504:0.658094:0.675040:0.658094:0.000000
y:@0.708781:0.674455:0.716263:0.674455:0.716263:0.658094:0.708781:0.658094:0.000000
3:@0.922783:0.122704:0.944806:0.122704:0.944806:0.065673:0.922783:0.065673:0.000000
Observamos:@0.115354:0.696228:0.212007:0.696228:0.212007:0.679604:0.115354:0.679604:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 que una de las variables está elevada al cua-:@0.212007:0.696228:0.552255:0.696228:0.552255:0.679839:0.212007:0.679839:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
drado, por lo tanto, se trata de una parábola, para determi-:@0.115354:0.712824:0.552196:0.712824:0.552196:0.696435:0.115354:0.696435:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
nar su vértice :@0.115354:0.729421:0.216658:0.729421:0.216658:0.713032:0.115354:0.713032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
completamos:@0.216216:0.729421:0.321677:0.729421:0.321677:0.712797:0.216216:0.712797:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 trinomios cuadrados perfectos::@0.321677:0.729421:0.552268:0.729421:0.552268:0.713032:0.321677:0.713032:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.125877:0.755686:0.133358:0.755686:0.133358:0.739324:0.125877:0.739324:0.000000
y:@0.168703:0.755686:0.176184:0.755686:0.176184:0.739324:0.168703:0.739324:0.000000
x:@0.245240:0.755686:0.252703:0.755686:0.252703:0.739324:0.245240:0.739324:0.000000
y:@0.125877:0.782046:0.133358:0.782046:0.133358:0.765685:0.125877:0.765685:0.000000
x:@0.209686:0.782046:0.217149:0.782046:0.217149:0.765685:0.209686:0.765685:0.000000
y:@0.125877:0.813828:0.133358:0.813828:0.133358:0.797467:0.125877:0.797467:0.000000
x:@0.220890:0.813828:0.228353:0.813828:0.228353:0.797467:0.220890:0.797467:0.000000
V:@0.117186:0.877213:0.126308:0.877213:0.126308:0.860851:0.117186:0.860851:0.000000
(:@0.117553:0.758469:0.041594:0.758469:0.041594:0.730716:0.117553:0.730716:0.000000
):@0.199639:0.758469:0.123680:0.758469:0.123680:0.730716:0.199639:0.730716:0.000000
(:@0.117553:0.784585:0.084420:0.784585:0.084420:0.758455:0.117553:0.758455:0.000000
):@0.156822:0.784585:0.123689:0.784585:0.123689:0.758455:0.156822:0.758455:0.000000
(:@0.117553:0.816371:0.084420:0.816371:0.084420:0.790240:0.117553:0.790240:0.000000
):@0.156822:0.816371:0.123689:0.816371:0.123689:0.790240:0.156822:0.790240:0.000000
−:@0.145038:0.756280:0.155155:0.756280:0.155155:0.738259:0.145038:0.738259:0.000000
+:@0.180585:0.756280:0.161789:0.756280:0.161789:0.738259:0.180585:0.738259:0.000000
=:@0.209487:0.756280:0.190691:0.756280:0.190691:0.738259:0.209487:0.738259:0.000000
−:@0.224295:0.756280:0.201574:0.756280:0.201574:0.738259:0.224295:0.738259:0.000000
−:@0.257122:0.756280:0.234401:0.756280:0.234401:0.738259:0.257122:0.738259:0.000000
+:@0.282398:0.756280:0.292514:0.756280:0.292514:0.738259:0.282398:0.738259:0.000000
−:@0.137759:0.782641:0.147876:0.782641:0.147876:0.764620:0.137759:0.764620:0.000000
= −:@0.173933:0.782641:0.166027:0.782641:0.166027:0.764620:0.173933:0.764620:0.000000:0.000000:0.000000
−:@0.221575:0.782641:0.198854:0.782641:0.198854:0.764620:0.221575:0.764620:0.000000
−:@0.137759:0.814423:0.147876:0.814423:0.147876:0.796402:0.137759:0.796402:0.000000
= −:@0.173933:0.814423:0.198865:0.814423:0.198865:0.796402:0.173933:0.796402:0.000000:0.000000:0.000000
+:@0.232772:0.814423:0.242889:0.814423:0.242889:0.796402:0.232772:0.796402:0.000000
⎛:@0.209903:0.804922:0.216980:0.804922:0.216980:0.786901:0.209903:0.786901:0.000000
⎝:@0.209903:0.825114:0.216980:0.825114:0.216980:0.807093:0.209903:0.807093:0.000000
⎜:@0.209903:0.819305:0.216980:0.819305:0.216980:0.801284:0.209903:0.801284:0.000000
⎞:@0.259750:0.804922:0.266826:0.804922:0.266826:0.786901:0.259750:0.786901:0.000000
⎠:@0.259750:0.825114:0.266826:0.825114:0.266826:0.807093:0.259750:0.807093:0.000000
⎟:@0.259750:0.819305:0.266826:0.819305:0.266826:0.801284:0.259750:0.801284:0.000000
=:@0.132790:0.877805:0.142907:0.877805:0.142907:0.859784:0.132790:0.859784:0.000000
−:@0.158608:0.868843:0.168724:0.868843:0.168724:0.850822:0.158608:0.850822:0.000000
⎛:@0.147256:0.868290:0.154332:0.868290:0.154332:0.850269:0.147256:0.850269:0.000000
⎝:@0.147256:0.888482:0.154332:0.888482:0.154332:0.870461:0.147256:0.870461:0.000000
⎜:@0.147256:0.882673:0.154332:0.882673:0.154332:0.864652:0.147256:0.864652:0.000000
⎞:@0.188092:0.868290:0.195168:0.868290:0.195168:0.850269:0.188092:0.850269:0.000000
⎠:@0.188092:0.888482:0.195168:0.888482:0.195168:0.870461:0.188092:0.870461:0.000000
⎟:@0.188092:0.882673:0.195168:0.882673:0.195168:0.864652:0.188092:0.864652:0.000000
,:@0.178509:0.877998:0.183116:0.877998:0.183116:0.859604:0.178509:0.859604:0.000000
2:@0.158460:0.755683:0.167453:0.755683:0.167453:0.739294:0.158460:0.739294:0.000000
1:@0.192855:0.755683:0.201848:0.755683:0.201848:0.739294:0.192855:0.739294:0.000000
4:@0.234266:0.755683:0.243259:0.755683:0.243259:0.739294:0.234266:0.739294:0.000000
21:@0.270546:0.755683:0.303679:0.755683:0.303679:0.739294:0.270546:0.739294:0.000000:0.000000
1:@0.150014:0.782046:0.159006:0.782046:0.159006:0.765657:0.150014:0.765657:0.000000
4:@0.198699:0.782046:0.207692:0.782046:0.207692:0.765657:0.198699:0.765657:0.000000
1:@0.233822:0.782046:0.242815:0.782046:0.242815:0.765657:0.233822:0.765657:0.000000
1:@0.150014:0.813828:0.159006:0.813828:0.159006:0.797439:0.150014:0.797439:0.000000
4:@0.198699:0.813828:0.207692:0.813828:0.207692:0.797439:0.198699:0.797439:0.000000
1:@0.249173:0.804866:0.258165:0.804866:0.258165:0.788477:0.249173:0.788477:0.000000
4:@0.248380:0.824312:0.257373:0.824312:0.257373:0.807923:0.248380:0.807923:0.000000
1:@0.168545:0.868251:0.177538:0.868251:0.177538:0.851862:0.168545:0.851862:0.000000
4:@0.162003:0.887696:0.170996:0.887696:0.170996:0.871307:0.162003:0.871307:0.000000
1:@0.181629:0.877213:0.190621:0.877213:0.190621:0.860824:0.181629:0.860824:0.000000
2:@0.134985:0.748023:0.140197:0.748023:0.140197:0.738525:0.134985:0.738525:0.000000
2:@0.162837:0.771011:0.168049:0.771011:0.168049:0.761513:0.162837:0.761513:0.000000
2:@0.162837:0.802800:0.168049:0.802800:0.168049:0.793302:0.162837:0.793302:0.000000
Esta parábola tiene de vértice :@0.115354:0.862540:0.335653:0.862540:0.335653:0.846151:0.115354:0.846151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.346174:0.741713:0.353656:0.741713:0.353656:0.725352:0.346174:0.725352:0.000000
y:@0.389000:0.741713:0.396481:0.741713:0.396481:0.725352:0.389000:0.725352:0.000000
x:@0.465537:0.741713:0.473000:0.741713:0.473000:0.725352:0.465537:0.725352:0.000000
y:@0.346174:0.768074:0.353656:0.768074:0.353656:0.751713:0.346174:0.751713:0.000000
x:@0.429983:0.768074:0.437446:0.768074:0.437446:0.751713:0.429983:0.751713:0.000000
y:@0.346174:0.799856:0.353656:0.799856:0.353656:0.783495:0.346174:0.783495:0.000000
x:@0.441187:0.799856:0.448650:0.799856:0.448650:0.783495:0.441187:0.783495:0.000000
V:@0.337485:0.863240:0.346606:0.863240:0.346606:0.846879:0.337485:0.846879:0.000000
(:@0.337851:0.744496:0.261893:0.744496:0.261893:0.716744:0.337851:0.716744:0.000000
):@0.419937:0.744496:0.343979:0.744496:0.343979:0.716744:0.419937:0.716744:0.000000
(:@0.337851:0.770614:0.304719:0.770614:0.304719:0.744484:0.337851:0.744484:0.000000
):@0.377121:0.770614:0.343988:0.770614:0.343988:0.744484:0.377121:0.744484:0.000000
(:@0.337851:0.802400:0.304719:0.802400:0.304719:0.776269:0.337851:0.776269:0.000000
):@0.377121:0.802400:0.343988:0.802400:0.343988:0.776269:0.377121:0.776269:0.000000
−:@0.365335:0.742308:0.375452:0.742308:0.375452:0.724287:0.365335:0.724287:0.000000
+:@0.400882:0.742308:0.382086:0.742308:0.382086:0.724287:0.400882:0.724287:0.000000
=:@0.429784:0.742308:0.410988:0.742308:0.410988:0.724287:0.429784:0.724287:0.000000
−:@0.444593:0.742308:0.421871:0.742308:0.421871:0.724287:0.444593:0.724287:0.000000
−:@0.477420:0.742308:0.454698:0.742308:0.454698:0.724287:0.477420:0.724287:0.000000
+:@0.502695:0.742308:0.512812:0.742308:0.512812:0.724287:0.502695:0.724287:0.000000
−:@0.358057:0.768669:0.368173:0.768669:0.368173:0.750648:0.358057:0.750648:0.000000
= −:@0.394230:0.768669:0.386325:0.768669:0.386325:0.750648:0.394230:0.750648:0.000000:0.000000:0.000000
−:@0.441873:0.768669:0.419152:0.768669:0.419152:0.750648:0.441873:0.750648:0.000000
−:@0.358057:0.800451:0.368173:0.800451:0.368173:0.782430:0.358057:0.782430:0.000000
= −:@0.394230:0.800451:0.419163:0.800451:0.419163:0.782430:0.394230:0.782430:0.000000:0.000000:0.000000
+:@0.453069:0.800451:0.463186:0.800451:0.463186:0.782430:0.453069:0.782430:0.000000
⎛:@0.430201:0.790949:0.437277:0.790949:0.437277:0.772928:0.430201:0.772928:0.000000
⎝:@0.430201:0.811141:0.437277:0.811141:0.437277:0.793121:0.430201:0.793121:0.000000
⎜:@0.430201:0.805333:0.437277:0.805333:0.437277:0.787312:0.430201:0.787312:0.000000
⎞:@0.480047:0.790949:0.487124:0.790949:0.487124:0.772928:0.480047:0.772928:0.000000
⎠:@0.480047:0.811141:0.487124:0.811141:0.487124:0.793121:0.480047:0.793121:0.000000
⎟:@0.480047:0.805333:0.487124:0.805333:0.487124:0.787312:0.480047:0.787312:0.000000
=:@0.353088:0.863832:0.363205:0.863832:0.363205:0.845812:0.353088:0.845812:0.000000
−:@0.378905:0.854870:0.389022:0.854870:0.389022:0.836849:0.378905:0.836849:0.000000
⎛:@0.367553:0.854317:0.374630:0.854317:0.374630:0.836296:0.367553:0.836296:0.000000
⎝:@0.367553:0.874509:0.374630:0.874509:0.374630:0.856489:0.367553:0.856489:0.000000
⎜:@0.367553:0.868701:0.374630:0.868701:0.374630:0.850680:0.367553:0.850680:0.000000
⎞:@0.408389:0.854317:0.415465:0.854317:0.415465:0.836296:0.408389:0.836296:0.000000
⎠:@0.408389:0.874509:0.415465:0.874509:0.415465:0.856489:0.408389:0.856489:0.000000
⎟:@0.408389:0.868701:0.415465:0.868701:0.415465:0.850680:0.408389:0.850680:0.000000
,:@0.398807:0.864026:0.403414:0.864026:0.403414:0.845632:0.398807:0.845632:0.000000
2:@0.378739:0.741710:0.387732:0.741710:0.387732:0.725321:0.378739:0.725321:0.000000
1:@0.413134:0.741710:0.422127:0.741710:0.422127:0.725321:0.413134:0.725321:0.000000
4:@0.454545:0.741710:0.463537:0.741710:0.463537:0.725321:0.454545:0.725321:0.000000
21:@0.490825:0.741710:0.523958:0.741710:0.523958:0.725321:0.490825:0.725321:0.000000:0.000000
1:@0.370318:0.768070:0.379310:0.768070:0.379310:0.751681:0.370318:0.751681:0.000000
4:@0.419003:0.768070:0.427996:0.768070:0.427996:0.751681:0.419003:0.751681:0.000000
1:@0.454126:0.768070:0.463119:0.768070:0.463119:0.751681:0.454126:0.751681:0.000000
1:@0.370318:0.799852:0.379310:0.799852:0.379310:0.783463:0.370318:0.783463:0.000000
4:@0.419003:0.799852:0.427996:0.799852:0.427996:0.783463:0.419003:0.783463:0.000000
1:@0.469477:0.790890:0.478469:0.790890:0.478469:0.774501:0.469477:0.774501:0.000000
4:@0.468684:0.810336:0.477677:0.810336:0.477677:0.793947:0.468684:0.793947:0.000000
1:@0.388844:0.854278:0.397837:0.854278:0.397837:0.837889:0.388844:0.837889:0.000000
4:@0.382302:0.873724:0.391295:0.873724:0.391295:0.857335:0.382302:0.857335:0.000000
1:@0.401928:0.863240:0.410920:0.863240:0.410920:0.846851:0.401928:0.846851:0.000000
2:@0.355284:0.734052:0.360496:0.734052:0.360496:0.724554:0.355284:0.724554:0.000000
2:@0.383137:0.757040:0.388348:0.757040:0.388348:0.747542:0.383137:0.747542:0.000000
2:@0.383137:0.788829:0.388348:0.788829:0.388348:0.779331:0.383137:0.779331:0.000000
 y eje focal paralelo al eje  , de ecuación   = 1.:@0.423503:0.862540:0.757041:0.862540:0.757041:0.846151:0.423503:0.846151:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.609510:0.862540:0.616973:0.862540:0.616973:0.846179:0.609510:0.846179:0.000000
y:@0.718307:0.862540:0.725788:0.862540:0.725788:0.846179:0.718307:0.846179:0.000000
Longitud del eje focal 1, foco :@0.115356:0.907530:0.330532:0.907530:0.330532:0.891141:0.115356:0.891141:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
, 1  y directriz :@0.375323:0.906769:0.473288:0.907535:0.473288:0.891146:0.375323:0.890380:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
⎛:@0.343830:0.900850:0.350907:0.900850:0.350907:0.885277:0.343830:0.885277:0.000000
⎝:@0.343830:0.917585:0.350907:0.917585:0.350907:0.902012:0.343830:0.902012:0.000000
⎜:@0.343830:0.911762:0.350907:0.911762:0.350907:0.896189:0.343830:0.896189:0.000000
⎞:@0.387279:0.900842:0.394356:0.900842:0.394356:0.885269:0.387279:0.885269:0.000000
⎠:@0.387279:0.917577:0.394356:0.917577:0.394356:0.902004:0.387279:0.902004:0.000000
⎟:@0.387279:0.911754:0.394356:0.911754:0.394356:0.896182:0.387279:0.896182:0.000000
–5:@0.355178:0.898975:0.373385:0.898975:0.373385:0.882586:0.355178:0.882586:0.000000:0.000000
4:@0.359362:0.918421:0.368354:0.918421:0.368354:0.902032:0.359362:0.902032:0.000000
F:@0.333139:0.907923:0.341192:0.907923:0.341192:0.891562:0.333139:0.891562:0.000000
x:@0.477370:0.907243:0.484834:0.907243:0.484834:0.890882:0.477370:0.890882:0.000000
3:@0.503962:0.898724:0.512954:0.898724:0.512954:0.882335:0.503962:0.882335:0.000000
4:@0.503755:0.918166:0.512748:0.918166:0.512748:0.901778:0.503755:0.901778:0.000000
=:@0.488888:0.907921:0.499004:0.907921:0.499004:0.892348:0.488888:0.892348:0.000000
La parábola:@0.450840:0.161730:0.544268:0.161730:0.544268:0.144830:0.450840:0.144830:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Definición:@0.122404:0.215627:0.203983:0.215627:0.203983:0.198726:0.122404:0.198726:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El lugar geométrico de los puntos cuya relación de distancias a un punto y a una recta :@0.243142:0.188948:0.876719:0.188948:0.876719:0.172560:0.243142:0.172560:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
fijos es constante recibe el nombre de parábola. El punto fijo se llama “foco”, la recta fija :@0.243142:0.205545:0.876822:0.205545:0.876822:0.189156:0.243142:0.189156:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
“directriz” y la relación constante “excentricidad”, que se representa con la letra  .:@0.243142:0.222141:0.825394:0.222141:0.825394:0.205752:0.243142:0.205752:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.814393:0.222141:0.822188:0.222141:0.822188:0.205780:0.814393:0.205780:0.000000
A la cónica en la que   = 1, se la conoce como “parábola”.:@0.243142:0.242306:0.657170:0.242306:0.657170:0.225917:0.243142:0.225917:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
e:@0.398542:0.242306:0.406337:0.242306:0.406337:0.225945:0.398542:0.225945:0.000000
Elementos  :@0.122404:0.314998:0.213787:0.314998:0.213787:0.298097:0.122404:0.298097:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
de la  :@0.122404:0.331594:0.168160:0.331594:0.168160:0.314694:0.122404:0.314694:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola:@0.122404:0.348191:0.193571:0.348191:0.193571:0.331290:0.122404:0.331290:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El :@0.243142:0.267601:0.259616:0.267601:0.259616:0.251213:0.243142:0.251213:0.000000:0.000000:0.000000
eje focal:@0.260353:0.267601:0.327301:0.267601:0.327301:0.250701:0.260353:0.250701:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
 es el eje perpendicular a la directriz :@0.327301:0.267601:0.598113:0.267601:0.598113:0.251213:0.327301:0.251213:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
que pasa por el foco. Es el eje de simetría de la :@0.243142:0.284198:0.598075:0.284198:0.598075:0.267809:0.243142:0.267809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
parábola.:@0.243142:0.300794:0.310937:0.300794:0.310937:0.284405:0.243142:0.284405:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
El punto de la parábola que pertenece al eje   :@0.243142:0.320959:0.605483:0.320959:0.605483:0.304570:0.243142:0.304570:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
focal se llama :@0.243142:0.337555:0.345544:0.337555:0.345544:0.321166:0.243142:0.321166:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
vértice:@0.345544:0.337555:0.399961:0.337555:0.399961:0.320655:0.345544:0.320655:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.399961:0.337555:0.403167:0.337555:0.403167:0.321166:0.399961:0.321166:0.000000
En el diagrama, las coordenadas del vértice son :@0.243142:0.357720:0.598075:0.357720:0.598075:0.341331:0.243142:0.341331:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V(0, 0), las del foco F(c, 0) y la recta directriz está :@0.243142:0.374316:0.598091:0.374316:0.598091:0.357927:0.243142:0.357927:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
dada por   = –:@0.243142:0.390912:0.349138:0.390912:0.349138:0.374524:0.243142:0.374524:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.313406:0.390912:0.320870:0.390912:0.320870:0.374551:0.313406:0.374551:0.000000
c.:@0.349138:0.390912:0.359955:0.390912:0.359955:0.374551:0.349138:0.374551:0.000000:0.000000
Ecuación :@0.122404:0.503726:0.197681:0.503726:0.197681:0.486826:0.122404:0.486826:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
canónica de :@0.122404:0.520323:0.221710:0.520323:0.221710:0.503422:0.122404:0.503422:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
la parábola:@0.122404:0.536919:0.211483:0.536919:0.211483:0.520018:0.122404:0.520018:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La ecuación de la parábola de vértice V = (0, 0) y eje focal   = 0, (eje  ) es:   = 4  donde::@0.243142:0.416042:0.872709:0.416028:0.872709:0.399639:0.243142:0.399653:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.654021:0.416042:0.661503:0.416042:0.661503:0.399681:0.654021:0.399681:0.000000
x:@0.724803:0.416042:0.732267:0.416042:0.732267:0.399681:0.724803:0.399681:0.000000
y:@0.762912:0.416042:0.770393:0.416042:0.770393:0.399681:0.762912:0.399681:0.000000
2:@0.770372:0.409981:0.775614:0.409981:0.775614:0.400426:0.770372:0.400426:0.000000
cx:@0.802333:0.416028:0.817463:0.416028:0.817463:0.399667:0.802333:0.399667:0.000000:0.000000
> ⇒:@0.257231:0.436615:0.299964:0.436615:0.299964:0.421042:0.257231:0.421042:0.000000:0.000000:0.000000
c:@0.246119:0.435938:0.253785:0.435938:0.253785:0.420545:0.246119:0.420545:0.000000
0:@0.269890:0.435938:0.278883:0.435938:0.278883:0.419549:0.269890:0.419549:0.000000
 Las ramas de la parábola apuntan hacia la derecha. :@0.305422:0.435938:0.685118:0.435938:0.685118:0.419549:0.305422:0.419549:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< ⇒:@0.257231:0.452960:0.299964:0.452960:0.299964:0.437387:0.257231:0.437387:0.000000:0.000000:0.000000
c:@0.246119:0.452283:0.253785:0.452283:0.253785:0.436889:0.246119:0.436889:0.000000
0:@0.269890:0.452283:0.278883:0.452283:0.278883:0.436613:0.269890:0.436613:0.000000
 Las ramas de la parábola apuntan hacia la izquierda.:@0.305422:0.452283:0.688804:0.452283:0.688804:0.435894:0.305422:0.435894:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
La expresión canónica de la parábola vertical con V (0, 0) y eje focal   = 0 (eje  ) es: :@0.243155:0.472198:0.876753:0.472198:0.876753:0.455809:0.243155:0.455809:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.758834:0.472198:0.766297:0.472198:0.766297:0.455837:0.758834:0.455837:0.000000
y:@0.835641:0.472198:0.843122:0.472198:0.843122:0.455837:0.835641:0.455837:0.000000
 :@0.872717:0.472198:0.876753:0.472198:0.876753:0.455809:0.872717:0.455809:0.000000
x:@0.243155:0.488546:0.250618:0.488546:0.250618:0.472184:0.243155:0.472184:0.000000
2:@0.250610:0.482488:0.255853:0.482488:0.255853:0.472934:0.250610:0.472934:0.000000
 = 4:@0.255853:0.488536:0.283900:0.488536:0.283900:0.472147:0.255853:0.472147:0.000000:0.000000:0.000000:0.000000
cy.:@0.283900:0.488536:0.301958:0.488536:0.301958:0.472174:0.283900:0.472174:0.000000:0.000000:0.000000
Donde::@0.243157:0.508451:0.297039:0.508451:0.297039:0.492062:0.243157:0.492062:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
> ⇒:@0.257231:0.529032:0.299964:0.529032:0.299964:0.513459:0.257231:0.513459:0.000000:0.000000:0.000000
c:@0.246119:0.528354:0.253785:0.528354:0.253785:0.512961:0.246119:0.512961:0.000000
0:@0.269890:0.528354:0.278883:0.528354:0.278883:0.511965:0.269890:0.511965:0.000000
 Las ramas de la parábola apuntan hacia la arriba. :@0.305422:0.528354:0.667409:0.528354:0.667409:0.511965:0.305422:0.511965:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
< ⇒:@0.257231:0.544120:0.299964:0.544120:0.299964:0.528547:0.257231:0.528547:0.000000:0.000000:0.000000
c:@0.246119:0.543442:0.253785:0.543442:0.253785:0.528049:0.246119:0.528049:0.000000
0:@0.269890:0.543442:0.278883:0.543442:0.278883:0.527772:0.269890:0.527772:0.000000
 Las ramas de la parábola apuntan hacia la abajo.:@0.305422:0.544699:0.661807:0.544699:0.661807:0.528310:0.305422:0.528310:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Coordenadas del foco:  (0,  ) y la ecuación de la directriz :@0.243155:0.564615:0.659061:0.564615:0.659061:0.548226:0.243155:0.548226:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.411416:0.564615:0.419469:0.564615:0.419469:0.548254:0.411416:0.548254:0.000000
c:@0.440587:0.564615:0.448253:0.564615:0.448253:0.548254:0.440587:0.548254:0.000000
y = –c:@0.659061:0.564615:0.701592:0.564615:0.701592:0.548254:0.659061:0.548254:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
.:@0.701592:0.564615:0.704799:0.564615:0.704799:0.548226:0.701592:0.548226:0.000000
La ecuación de la parábola con vértice fuera del origen es::@0.243155:0.584531:0.667962:0.584531:0.667962:0.568142:0.243155:0.568142:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
Horizontal: (  –  )  = ±4 (  –  ):@0.243155:0.604446:0.465816:0.604426:0.465816:0.588037:0.243155:0.588057:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y k:@0.331037:0.604446:0.363377:0.604446:0.363377:0.588085:0.331037:0.588085:0.000000:0.000000:0.000000
2:@0.368250:0.598379:0.373493:0.598379:0.373493:0.588824:0.368250:0.588824:0.000000
p x h:@0.412524:0.604426:0.460933:0.604426:0.460933:0.588065:0.412524:0.588065:0.000000:0.000000:0.000000:0.000000:0.000000
Vertical: (  –  )  = ±4 (  –  ):@0.243155:0.624591:0.443851:0.624586:0.443851:0.608197:0.243155:0.608202:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
x h:@0.309071:0.624591:0.343328:0.624591:0.343328:0.608229:0.309071:0.608229:0.000000:0.000000:0.000000
2:@0.348201:0.618538:0.353444:0.618538:0.353444:0.608984:0.348201:0.608984:0.000000
p y k:@0.392474:0.624586:0.438967:0.624586:0.438967:0.608224:0.392474:0.608224:0.000000:0.000000:0.000000:0.000000:0.000000
x:@0.782277:0.347504:0.787705:0.347504:0.787705:0.335605:0.782277:0.335605:0.000000
F c:@0.722478:0.347504:0.737461:0.347504:0.737461:0.335605:0.722478:0.335605:0.000000:0.000000:0.000000
( , 0):@0.728335:0.347504:0.752820:0.347504:0.752820:0.335585:0.728335:0.335585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
r: directriz:@0.621441:0.316524:0.673814:0.316524:0.673814:0.304605:0.621441:0.304605:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
V:@0.669259:0.347504:0.675893:0.347504:0.675893:0.335605:0.669259:0.335605:0.000000
(0, 0):@0.675893:0.347504:0.701343:0.347504:0.701343:0.335585:0.675893:0.335585:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
–c:@0.645806:0.347504:0.658484:0.347504:0.658484:0.335605:0.645806:0.335605:0.000000:0.000000
P x y:@0.794473:0.298681:0.820540:0.298681:0.820540:0.286782:0.794473:0.286782:0.000000:0.000000:0.000000:0.000000:0.000000
( ,  ):@0.800853:0.298681:0.824091:0.298681:0.824091:0.286761:0.800853:0.286761:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
y:@0.691319:0.294285:0.696760:0.294285:0.696760:0.282386:0.691319:0.282386:0.000000
y:@0.709681:0.278248:0.715122:0.278248:0.715122:0.266349:0.709681:0.266349:0.000000
x:@0.852626:0.329214:0.858054:0.329214:0.858054:0.317315:0.852626:0.317315:0.000000
V = (–0,25, 1):@0.703302:0.787352:0.771544:0.787352:0.771544:0.775433:0.703302:0.775433:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
F:@0.672343:0.786397:0.678535:0.786397:0.678535:0.774477:0.672343:0.774477:0.000000
–1 0:@0.680291:0.805689:0.707831:0.805689:0.707831:0.793769:0.680291:0.793769:0.000000:0.000000:0.000000:0.000000
–1:@0.693331:0.819438:0.706572:0.819438:0.706572:0.807519:0.693331:0.807519:0.000000:0.000000
–2:@0.652803:0.805689:0.666044:0.805689:0.666044:0.793769:0.652803:0.793769:0.000000:0.000000
–3:@0.625316:0.805689:0.638557:0.805689:0.638557:0.793769:0.625316:0.793769:0.000000:0.000000
–4:@0.597829:0.805689:0.611070:0.805689:0.611070:0.793769:0.597829:0.793769:0.000000:0.000000
4:@0.702028:0.711502:0.708569:0.711502:0.708569:0.699582:0.702028:0.699582:0.000000
y:@0.720671:0.694131:0.726567:0.694131:0.726567:0.682212:0.720671:0.682212:0.000000
x:@0.869928:0.790319:0.875677:0.790319:0.875677:0.778400:0.869928:0.778400:0.000000
3:@0.702015:0.733288:0.708555:0.733288:0.708555:0.721369:0.702015:0.721369:0.000000
2:@0.702015:0.755105:0.708555:0.755105:0.708555:0.743186:0.702015:0.743186:0.000000
1:@0.702015:0.776419:0.708555:0.776419:0.708555:0.764499:0.702015:0.764499:0.000000
1:@0.737986:0.805699:0.744526:0.805699:0.744526:0.793779:0.737986:0.793779:0.000000
3:@0.792960:0.805699:0.799501:0.805699:0.799501:0.793779:0.792960:0.793779:0.000000
2:@0.765473:0.805699:0.772013:0.805699:0.772013:0.793779:0.765473:0.793779:0.000000
4:@0.820448:0.805699:0.826988:0.805699:0.826988:0.793779:0.820448:0.793779:0.000000
x = ––:@0.737249:0.751074:0.770392:0.751074:0.770392:0.739155:0.737249:0.739155:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000
3:@0.760823:0.744787:0.767363:0.744787:0.767363:0.732868:0.760823:0.732868:0.000000
4:@0.760823:0.758618:0.767363:0.758618:0.767363:0.746698:0.760823:0.746698:0.000000
 ©:@0.079553:0.731952:0.079553:0.720342:0.061505:0.720342:0.061505:0.731952:0.000000:0.000000
maya:@0.080774:0.720340:0.080774:0.684191:0.055786:0.684191:0.055786:0.720340:0.000000:0.000000:0.000000:0.000000
®EDUCACIÓN – Libro resuelto solo para fines didácticos – Prohibida su reproducción :@0.079553:0.684192:0.079553:0.268045:0.061505:0.268045:0.061505:0.684192:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000:0.000000