4
QuizMultiple Choice

Transformations of Quadratic Functions

Question 4 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3?

Answer
A
4 units to the left
B
4 units to the right
C
8 units to the left
D
8 units to the right

Explanation

In vertex form, y = 2(x − h)² + 3 has its vertex at x = h. The first graph has h = 15, and the second has h = 11, so the vertex moves from x = 15 to x = 11, a shift 4 units left. The translation is 4 units to the left.

AI-written and checked against the verified answer.

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