14
practice testMultiple Choice

Practice Test

Question 14 • Algebra I

Which function has a vertex on the y -axis?

Answer
A
f of x is equal to x times open paren x plus 2 close paren
B
f of x is equal to open paren x plus 1 close paren times open paren x minus 2 close paren
C
f of x is equal to open paren x minus 2 close paren times open paren x plus 2 close paren
D
f of x is equal to open paren x minus 2 close paren squared

Explanation

A parabola’s vertex lies on the y-axis when its axis of symmetry is x = 0. For choice B, the zeros are x = 2 and x = −2, so their midpoint is (2 + (−2))/2 = 0; this makes the axis of symmetry x = 0. Therefore, f(x) = (x − 2)(x + 2), the function in choice B, has a vertex on the y-axis.

AI-written and checked against the verified answer.

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