{"id":110346,"date":"2020-01-29T18:14:46","date_gmt":"2020-01-29T17:14:46","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/calculo\/traslaciones-parabola.html"},"modified":"2026-10-07T17:44:02","modified_gmt":"2026-10-07T15:44:02","slug":"traslaciones-parabola","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\/traslaciones-parabola.html","title":{"rendered":"Traslaciones de par\u00e1bolas"},"content":{"rendered":"<section id=\"sec\" style=\"\">\r\n          \n\n<h2 class=\"wp-block-heading\"><strong>Construcci\u00f3n de par\u00e1bolas a partir de y = x\u00b2<\/strong><\/h2>\n\n\r\n\t\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\">Partimos de y = x\u00b2<\/p>\n\n\r\n\t\t\t\t\t\t\r\n                          \r\n                           <table class=\"responsive sbc\" data-min=\"8\" data-max=\"12\">\r\n                              <tr>\r\n                                <th>x<\/th>\r\n                                <th style=\"vertical-align:bottom\">y = x\u00b2<\/th>\r\n                              <\/tr>\r\n                              <tr>\r\n                                <td>-2<\/td>\r\n                                <td style=\"text-align:center\">4<\/td>\r\n                              <\/tr>\r\n                              <tr>\r\n                                <td>-1<\/td>\r\n                                <td style=\"text-align:center\">1<\/td>\r\n                              <\/tr>\r\n                              <tr>\r\n                                <td>0<\/td>\r\n                                <td style=\"text-align:center\">0<\/td>\r\n                              <\/tr>\r\n                              <tr>\r\n                                <td>1<\/td>\r\n                                <td style=\"text-align:center\">1<\/td>\r\n                              <\/tr>\r\n                              <tr>\r\n                                <td>2<\/td>\r\n                                <td style=\"text-align:center\">4<\/td>\r\n                              <\/tr>\r\n                            <\/table>\r\n                        \r\n\t\t\t\t\t\t\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-1.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 1\" \/><\/p>\n\n\r\n\t\t\t  \r\n                        \n\n<h3 class=\"wp-block-heading\">1. Traslaci\u00f3n vertical<\/h3>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>y = x\u00b2 + k <\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>Si K > 0, y = x\u00b2 se desplaza hacia arriba k unidades. <\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>Si K < 0, y = x\u00b2 se desplaza hacia abajo k unidades.<\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>El v\u00e9rtice de la par\u00e1bola es: (0, k). <\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong> El eje de simetr\u00eda x = 0.<\/strong> <\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-2.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 2\"  height=\"312\" style=\"margin-left:10%;\" \/><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-3.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 3\" width=\"192\" \/><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong><span class=\"sol\">y = x\u00b2 +2 <\/span> <\/strong><span class=\"sol\" style=\"margin-left:20%;\"><strong>y = x\u00b2 -2<\/strong><\/span><\/p>\n\n\r\n                        \n\n<h3 class=\"wp-block-heading\">2. Traslaci\u00f3n horizontal <\/h3>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>y = (x + h)\u00b2 <\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>Si h > 0, y = x\u00b2 se desplaza hacia la izquierda h unidades. <\/strong><\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"><strong>Si h < 0, y = x\u00b2 se desplaza hacia la derecha h unidades.<\/strong><\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"><strong>El v\u00e9rtice de la par\u00e1bola es: (-h, 0). <\/strong><\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"><strong>El eje de simetr\u00eda es x = -h.<\/strong> <\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-4.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 4\"  height=\"290\" style=\"margin-left:10%;\" \/><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-5.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 5\" width=\"218\" \/><\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"><span class=\"sol\" style=\"margin-left:10%;\">y = (x + 2)\u00b2<\/span><span class=\"sol\" style=\"margin-left:20%;\">y = (x - 2)\u00b2<\/span><\/p>\n\n\r\n                      \r\n                        \n\n<h3 class=\"wp-block-heading\">3. Traslaci\u00f3n oblicua<\/h3>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"> <strong>y = (x + h)\u00b2 + k<\/strong><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><strong>El v\u00e9rtice de la par\u00e1bola es: (-h, k)<\/strong>.<\/p>\n\n\r\n                      \n\n<p class=\"wp-block-paragraph\"> <strong>El eje de simetr\u00eda es x = -h. <\/strong><\/p>\n\n\r\n                     \r\n                        \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-6.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 6\"  height=\"300\" style=\"margin-left:10%;\" \/><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/traslaciones-de-par&aacute;bolas-7.gif\" alt=\"Explicaciones y ejemplos de traslaciones de par&aacute;bolas - 7\" width=\"222\" \/><\/p>\n\n\r\n                        \n\n<p class=\"wp-block-paragraph\"><span class=\"sol\" style=\"margin-left:10%;\">y = (x - 2)\u00b2 + 2<\/span> <span class=\"sol\" style=\"margin-left:20%;\">y = (x + 2)\u00b2 \u2212 2<\/span> <\/p>\n\n\n<\/section>","protected":false},"excerpt":{"rendered":"<p>Construcci\u00f3n de par\u00e1bolas a partir de y = x\u00b2 Partimos de y = x\u00b2 x y = x\u00b2 -2 4 -1 1 0 0 1 1 2 4 1. Traslaci\u00f3n vertical y = x\u00b2 + k Si K > 0, y = x\u00b2 se desplaza hacia arriba k unidades. Si K < 0, y = [&hellip;]\n<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[366],"tags":[364],"class_list":["post-110346","post","type-post","status-publish","format-standard","hentry","category-calculo","tag-t"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">C\u00e1lculo<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">C\u00e1lculo<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">t<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">t<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 4 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 7 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 14 min","modified":"Actualizado el 7 octubre 2026 17 h 44 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110346","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=110346"}],"version-history":[{"count":5,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110346\/revisions"}],"predecessor-version":[{"id":141717,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/110346\/revisions\/141717"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=110346"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=110346"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=110346"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}