{"id":117,"date":"2020-04-07T14:37:31","date_gmt":"2020-04-07T21:37:31","guid":{"rendered":"http:\/\/mathtalk.sdsu.edu\/wordpress\/?page_id=117"},"modified":"2020-05-21T14:59:41","modified_gmt":"2020-05-21T21:59:41","slug":"parabolas-lesson-10","status":"publish","type":"page","link":"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/parabolas-unit\/parabolas-lesson-10\/","title":{"rendered":"Parabolas Lesson 10"},"content":{"rendered":"\n<h3 class=\"wp-block-heading\">Getting and Using Geometric Information<\/h3>\n\n\n\n<p>Given the equation of a parabola in any form, Sasha and Keoni find geometric information (such as the focus, directrix, p-value, and vertex) about the parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-10-episode-1\/\">Episode 1: Making Sense<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha begin to find geometric information from the equation, y = (x\u20132.4)<sup>2<\/sup>\/6, in vertex form. They find the p-value and determine the vertex of the parabola.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-10-episode-2\/\">Episode 2: Exploring<\/a><\/h5>\n\n\n\n<p>Sasha and Keoni graph the equation y = (x\u20132.4)<sup>2<\/sup>\/6. They determine the coordinates of the focus and the equation of the directrix from the geometric information in the equation.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-10-episode-3\/\">Episode 3: Repeating Your Reasoning<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha look for geometric information of a parabola represented by the equation y = 2(x \u2013 3)<sup>2<\/sup> + 1. They start by finding the vertex and the p-value.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-10-episode-4\/\">Episode 4: Making Sense<\/a><\/h5>\n\n\n\n<p>Keoni and Sasha examine an equation of a parabola in a different form, y = x<sup>2<\/sup> \u2013 4x + 4. When they look for geometric information, the p-value and vertex are not apparent. They start by rewriting the equation.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><a href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-lesson-10-episode-5\/\">Episode 5: Exploring<\/a><\/h5>\n\n\n\n<p>Sasha and Keoni examine yet another equation of a parabola that is not in vertex form, y = x<sup>2<\/sup> \u2013 4x + 5. They start out by seeking a method to re-express the equation in vertex form.<\/p>\n\n\n\n<div class=\"wp-block-buttons is-layout-flex wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/\" style=\"background-color:#2d4059\">Home<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/mathtalk-for-students\/\" style=\"background-color:#2d4059\">Units<\/a><\/div>\n\n\n\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-background\" href=\"https:\/\/mathtalk.sdsu.edu\/wordpress\/parabolas-unit\/\" style=\"background-color:#2d4059\">Parabolas<\/a><\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Getting and Using Geometric Information Given the equation of a parabola in any form, Sasha and Keoni find geometric information (such as the focus, directrix, p-value, and vertex) about the parabola. Episode 1: Making Sense Keoni and Sasha begin to find geometric information from the equation, y = (x\u20132.4)2\/6, in vertex form. They find the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":61,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-117","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/117","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/comments?post=117"}],"version-history":[{"count":3,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/117\/revisions"}],"predecessor-version":[{"id":468,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/117\/revisions\/468"}],"up":[{"embeddable":true,"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/pages\/61"}],"wp:attachment":[{"href":"https:\/\/mathtalk.sdsu.edu\/wordpress\/wp-json\/wp\/v2\/media?parent=117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}