How to write an equation for a parabola in vertex formSoluti

How to write an equation for a parabola in vertex form

Solution

To write an equation for a parabola in vertex form, you need to read the coordinates of the vertex from the given graph as (h, k) first. You can write
y = a(x-h)^2 + k
Now, read the y-intercept or any other given point.
y-int = ah^2+k
You can solve for a,
a = (y-int-k)/h^2
So, the vertex form is y = [(y-int-k)/h^2](x-h)^2 + k