Question

What is the equation of the graph below in vertex form, y=a(x – h)^2 + k? Using complete sentences, explain how you developed your equation.

Answer 1

You get the vertex form of a parabola by completing the square.

Answer 2

or, since it says its a graph, you look at the pointof the bend and plug in the values for that vertex into the vertex form given; then play about to find a

Answer 3

maybe using the y intercept when x=0

y = ah^2 + k

(y-k)/h^2 = a