Question

PLEASE HELP!!!! ASAP!!!

Write the Equation of the Parabola in vertex form.

A. y = (x-2)^2 + 4

B. y = (x-4)^2 - 4

C. y = x^2 - 4

D. y= (x-2)^2

Answer 1

The vertex form is

`y = a {(x - h)}^(2) + k`
where (h,k) is the vertex, and a is the coefficient.

On the graph, the vertex is point (2,0), so our vertex form is

`y = {(x - 2)}^(2) + 0`
which is answer D. We remove the a, since the parabola is not stretched, just shifted.