How do you find the equation of a parabola

If you're given the x-intercepts of a parabola, and a point on the curve (maybe the vertex or y-intercept) you can create the equation for the parabola.

How to Find Equation of a Parabola

There are two different formulas that you can use to find the axis of symmetry. One formula works when the parabola's equation is in vertex form and the other works when the parabola's equation is in standard form . Standard Form . If
Calculus

Vertex Form

y = a (x - h)2 + k . And if the parabola opens horizontally (which can mean the open side of the U faces right or left), you'll use this equation: x = a (y - k)2 + h . Because the example parabola opens vertically, let's use the first
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