{"id":9917,"date":"2022-02-02T21:59:24","date_gmt":"2022-02-02T16:29:24","guid":{"rendered":"https:\/\/mathemerize.com\/?p=9917"},"modified":"2022-02-02T21:59:28","modified_gmt":"2022-02-02T16:29:28","slug":"parametric-equation-of-all-forms-of-parabola","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/parametric-equation-of-all-forms-of-parabola\/","title":{"rendered":"Parametric Equation of all Forms of Parabola"},"content":{"rendered":"

Here you will learn what is the parametric equation of all forms of parabola and their parametric coordinates.<\/p>\n

Let’s begin –<\/p>\n

Parametric Equation of Parabola and Coordinates<\/h2>\n

(i) For the parabola \\(y^2\\) = 4ax :<\/strong><\/h4>\n

The parametric equation is x = \\(at^2\\) & y = 2at.<\/p>\n

And parametric coordinates are (\\(at^2\\), 2at).<\/p><\/blockquote>\n

(ii) For the parabola \\(y^2\\) = -4ax :<\/strong><\/h4>\n

The parametric equation is x = \\(-at^2\\) & y = 2at.<\/p>\n

And parametric coordinates are (\\(-at^2\\), 2at).<\/p><\/blockquote>\n

(iii) For the parabola \\(x^2\\) = 4ay :<\/strong><\/h4>\n

The parametric equation is x = 2at & y = \\(at^2\\).<\/p>\n

And parametric coordinates are (2at, \\(at^2\\)).<\/p><\/blockquote>\n

Also Read<\/strong> : Different Types of Parabola Equations<\/a><\/p>\n

(iv) For the parabola \\(x^2\\) = -4ay :<\/strong><\/h4>\n

The parametric equation is x = 2at & y = \\(-at^2\\).<\/p>\n

And parametric coordinates are (2at, -\\(at^2\\)).<\/p><\/blockquote>\n

(v) For the parabola \\((y – k)^2\\) = 4a(x – h) :<\/strong><\/h4>\n

The parametric equation is x = \\(h + at^2\\) & y = k + 2at.<\/p>\n

And parametric coordinates are (\\(h + at^2\\), k + 2at).<\/p><\/blockquote>\n

(vi) For the parabola \\((x – p)^2\\) = 4a(y – q) :<\/strong><\/h4>\n

The parametric equation is x = p + 2at & y = \\(q + at^2\\).<\/p>\n

And parametric coordinates are (p + 2at, \\(q + at^2\\)).<\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"

Here you will learn what is the parametric equation of all forms of parabola and their parametric coordinates. Let’s begin – Parametric Equation of Parabola and Coordinates (i) For the parabola \\(y^2\\) = 4ax : The parametric equation is x = \\(at^2\\) & y = 2at. And parametric coordinates are (\\(at^2\\), 2at). (ii) For the …<\/p>\n

Parametric Equation of all Forms of Parabola<\/span> Read More »<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"default","ast-global-header-display":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":""},"categories":[12],"tags":[],"yoast_head":"\nParametric Equation of all Forms of Parabola - Mathemerize<\/title>\n<meta name=\"description\" content=\"In this post you will learn what is the parametric equation of all forms of parabola and their parametric coordinates.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathemerize.com\/parametric-equation-of-all-forms-of-parabola\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Parametric Equation of all Forms of Parabola - 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