70
QuizMultiple Choice

N/A — Exam

Question 70 • Algebra II

Which pair of equations generates graphs with the same vertex?

Answer
A
y is equal to open paren x minus 4 close paren squared and y is equal to x squared plus 4
B
y is equal to negative open paren x plus 4 close paren squared and y is equal to open paren x minus 4 close paren squared
C
y is equal to negative 4 x squared and y is equal to 4 x squared
D
y is equal to negative x squared minus 4 and y is equal to x squared plus 4

Explanation

A quadratic in vertex form, y = a(x − h)² + k, has vertex (h, k). In choice C, y = −4x² and y = 4x² both have h = 0 and k = 0, so both graphs have vertex (0, 0). The other choices give different vertices for their two equations.

AI-written and checked against the verified answer.

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