{"id":156290,"date":"2022-03-26T01:35:35","date_gmt":"2022-03-25T20:05:35","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/equation-of-parabola-definition-formula-solved-examples-and-faqs\/"},"modified":"2022-12-22T21:38:09","modified_gmt":"2022-12-22T16:08:09","slug":"equation-of-parabola-definition-formula-solved-examples-and-faqs","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/","title":{"rendered":"Equation Of Parabola \u2013 Definition, Formula, Solved Examples and FAQs"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#Definition_and_Equation_of_Parabola\" title=\"Definition and Equation of Parabola\">Definition and Equation of Parabola<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#Parabolic_Equation\" title=\"Parabolic Equation\">Parabolic Equation<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#The_Formula_for_Equation_of_a_Parabola\" title=\"The Formula for Equation of a Parabola\">The Formula for Equation of a Parabola<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#Spot_the_Parabola_at_a_Stroke\" title=\"Spot the Parabola at a Stroke\">Spot the Parabola at a Stroke<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#Usefulness_of_Parabola\" title=\"Usefulness of Parabola\">Usefulness of Parabola<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#The_Equation_for_Parabola_in_Standard_Form\" title=\"The Equation for Parabola in Standard Form\">The Equation for Parabola in Standard Form<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/maths\/equation-of-parabola\/#The_Equation_for_Parabola_in_Vertex_Form\" title=\"The Equation for Parabola in Vertex Form\">The Equation for Parabola in Vertex Form<\/a><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"Definition_and_Equation_of_Parabola\"><\/span>Definition and Equation of Parabola<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A parabola is a mathematical curve that is shaped like an upside down U. The equation of a parabola is y = ax2, where a is the coefficient of x2. The graph of a parabola is symmetrical about the y-axis.<\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-156289 size-full\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-parabola-definition-formula-solved-examples-and-faqs.jpg\" alt=\"\" width=\"606\" height=\"428\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-parabola-definition-formula-solved-examples-and-faqs.jpg?v=1648238730 606w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/equation-of-parabola-definition-formula-solved-examples-and-faqs-300x212.jpg?v=1648238730 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"Parabolic_Equation\"><\/span>Parabolic Equation<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The parabolic equation is a second order linear differential equation. It can be written in the form<\/p>\n<p>y&#8221; + p(x)y&#8217; + q(x)y = 0<\/p>\n<p>where y is a function of x and p(x) and q(x) are constants. The graph of a solution to the parabolic equation is a parabola.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Formula_for_Equation_of_a_Parabola\"><\/span>The Formula for Equation of a Parabola<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation of a parabola with vertex at (h, k) and focus at (f, g) is y = a(x \u2212 h)2 + k.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Spot_the_Parabola_at_a_Stroke\"><\/span>Spot the Parabola at a Stroke<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>In mathematics, a parabola is a U-shaped curve. It is a conic section, formed by the intersection of a plane and a cone. The plane can be vertical or horizontal. The cone can be a right cone or a oblique cone. The vertex of the cone is the point where the plane intersects the cone. The axis of the cone is the line joining the vertex to the center of the base of the cone. The focal point of the parabola is the point where the axis of the cone intersects the parabola.<\/p>\n<p>The standard equation of a parabola is y = x2. This equation can be used to find the coordinates of the vertex, the axis of the cone, and the focal point of the parabola.<\/p>\n<p>To find the vertex of the parabola, use the equation to solve for x. The x-coordinate of the vertex is the root of the equation.<\/p>\n<p>To find the axis of the cone, use the equation to solve for y. The y-coordinate of the axis of the cone is the root of the equation.<\/p>\n<p>To find the focal point of the parabola, use the equation to solve for y. The y-coordinate of the focal point is the positive square root of the equation.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Usefulness_of_Parabola\"><\/span>Usefulness of Parabola<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>A parabola is a curve in mathematics that is shaped like a U. It has two focal points, which are the points where the curve is the steepest. The parabola is often used in physics and engineering to model the path of a projectile. It can also be used to model the path of a light ray.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Equation_for_Parabola_in_Standard_Form\"><\/span>The Equation for Parabola in Standard Form<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation for a parabola in standard form is y = ax^2 + bx + c. The a represents the y-intercept, the b represents the slope of the parabola, and the c represents the vertex of the parabola.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"The_Equation_for_Parabola_in_Vertex_Form\"><\/span>The Equation for Parabola in Vertex Form<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The equation for a parabola in vertex form is y = a(x &#8211; h)2 + k. This equation can be used to find the vertex of a parabola, as well as the coordinates of the points on the parabola.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Definition and Equation of Parabola A parabola is a mathematical curve that is shaped like an upside down U. The [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Equation Of Parabola \u2013 Definition, Formula, Solved Examples and FAQs","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"Learn about Equation of Parabola topic of Maths in details explained by subject experts on infinitylearn.com. 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