Transformations of Quadratic Functions questions and answers 2025(passed).

Transformations of Quadratic
Functions questions and
answers 2025(passed)
Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form? - answer A.



Which phrase best describes the translation from the graph y = 6x2 to the graph
of y = 6(x + 1)2? - answer C. 1 unit left



Which pair of equations generates graphs with the same vertex? - answer B. y = -
4x2 and y = 4x2



How does the graph of y = a(x - h)2 + k change if the value of h is doubled? -
answer B. The vertex of the graph moves to a point twice as far from the y-axis.



Which equation has a graph that is a parabola with a vertex at (5, 3)? - answer A.
y = (x - 5)2 + 3



Which equation is y = 2x2 - 8x + 9 rewritten in vertex form? - answer C. y = 2(x -
2)2 + 1



What is the first step when rewriting y = -4x2 + 2x - 7 in the form y = a(x - h)2 +
k? - answer B. -4 must be factored from -4x2 + 2x



Which equation has a graph that is a parabola with a vertex at (-1, -1)? - answer
D. y = (x + 1)2 - 1



Which equation is y = 6x2 + 12x - 10 rewritten in vertex form? - answer D. y = 6(x
+ 1)2 - 16