26
QuizMultiple Choice

Analyzing Functional Relationships

Question 26 • 26MATH_Recovery_Alg1B22

Which function has a vertex on the y-axis?

Answer
f
f(x) = (x – 2)2
f
f(x) = x(x + 2)
f
f(x) = (x – 2)(x + 2)
f
f(x) = (x + 1)(x – 2)

Explanation

A parabola’s vertex lies on the y-axis when its x-coordinate is 0. For choice C, f(x) = (x − 2)(x + 2) = x² − 4, which has its vertex at (0, −4). The other choices have vertices with nonzero x-coordinates, so choice C, f(x) = (x − 2)(x + 2), is correct.

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