";s:4:"text";s:2781:" The General Equation of the Parabola.
If a is negative, then the graph opens downwards like an upside down "U". Also Find Equation of Parabola Passing Through three Points - Step by Step Solver . There are simple derivations to get the equation of a parabola based on the location of a directrix and the focus, but we will skip the derivation in this introduction. Conic Sections: Parabola and Focus example. Normally, you'll see a quadratic equation written as. Step 1: use the (known) coordinates of the vertex, (h,k), to write the parabola 's equation in the form: y = a(x−h)2+k the problem now only consists of having to find the value of the coefficient a . If a is positive then the parabola opens upwards like a regular "U". If |a| < 1, the graph of the parabola widens. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor. a x 2 + b x + c. , which, when graphed, will be a parabola. Enter quadratic equation in standard form:--> x 2 + x + This solver has been accessed 2302630 times. This Solver (Convert to Vertex Form and Graph) was created by by ccs2011(207) : View Source, Show, Put on YOUR site About ccs2011: Convert to Vertex Form and Graph. From this form, it's easy enough to find the roots of the equation (where the parabola hits the. (h,k) is the vertex as you can see in the picture below. The vertex form of a parabola's equation is generally expressed as: y = a (x-h)2+k.