Given the following in vertex form: f(x)=a(x-h)2 + k

Question

What effect does each of the following have on the graph of the parent function?

a_____ h_____ k_____

Answer 1

a determines whether the parabola opens up or down (positive up and negative down) and the width of the parabola (larger a means smaller width).

(h,k) are the coordinates of the vertex of the parabola.