9
QuizMultiple Choice

Transformations of Quadratic Functions

Question 9 • FL-1200330-Algebra 2 CR

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

Answer
A
The vertex of the graph moves to a point twice as far from the x-axis.
B
The vertex of the graph moves to a point twice as far from the y-axis.
C
The vertex of the graph moves to a point half as far from the x-axis.
D
The vertex of the graph moves to a point half as far from the y-axis.

Explanation

In vertex form, y = a(x − h)² + k, the vertex is (h, k). Doubling h changes the vertex’s x-coordinate from h to 2h, while its y-coordinate k stays the same. Thus, the vertex moves to a point twice as far from the y-axis, so the correct choice is B.

AI-written and checked against the verified answer.

Previous
Next