8
QuizMultiple Choice

Transformations of Quadratic Functions

Question 8 • Fall 24 GMS Advanced Algebra: Concepts and Connections A

Which pair of equations generates graphs with the same vertex?

Answer
A
y = –(x + 4)2 and y = (x – 4)2
B
y = –4x2 and y = 4x2
C
y = –x2 – 4 and y = x2 + 4
D
y = (x – 4)2 and y = x2 + 4

Explanation

A parabola in the form y = a(x − h)² + k has vertex (h, k). In choice B, both y = −4x² and y = 4x² have h = 0 and k = 0, so their vertices are both (0, 0). The other choices have different vertex coordinates within each pair.

AI-written and checked against the verified answer.

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