Transformations of Quadratic Functions

Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

A.

Which equation has a graph that is a parabola with a vertex at (5, 3)?

A. y = (x - 5)2 + 3

What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h)2 + k?

B. -4 must be factored from -4x2 + 2x

How does the graph of y = a(x - h)2 + k change if the value of h is doubled?

B. The vertex of the graph moves to a point twice as far from the y-axis.

Which pair of equations generates graphs with the same vertex?

B. y = -4x2 and y = 4x2

Which phrase best describes the translation from the graph y = 6x2 to the graph of y = 6(x + 1)2?

C. 1 unit left

Which phrase best describes the translation from the graph y = (x + 2)2 to the graph of y = x2 + 3?

C. 2 units right and 3 units up

Which equation is y = 2x2 - 8x + 9 rewritten in vertex form?

C. y = 2(x - 2)2 + 1

Which equation has a graph that is a parabola with a vertex at (-1, -1)?

D. y = (x + 1)2 - 1

Which equation is y = 6x2 + 12x - 10 rewritten in vertex form?

D. y = 6(x + 1)2 - 16