CPM Homework Help : CCA2 Problem 2-127

A parabola has vertex $(2,3)$ and contains the point $(0,0)$ . Find an equation that represents this parabola.

Hint:

Use the equation $y=a(x−h)^2+k$ where $(h,k)=(2,3)$ and $(x,y)=(0,0)$ .

Steps:

$0=a(0−2)^2+3$

$−3=a(4)$

$-\frac{3}{4}=a$

Answer:

$y=-\frac{3}{4}(x-2)^2+3$