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Quadratic Functions: Standard Form

Question 9 • PA PCS Math 1 2026 Fall Sem XR

Which functions have an axis of symmetry of x = –2? Check all that apply.f(x) = x2 + 4x + 3f(x) = x2 – 4x – 5f(x) = x2 + 6x + 2 f(x) = –2x2 – 8x + 1f(x) = –2x2 + 8x – 2

Answer
A
f(x) = x2 + 4x + 3
B
f(x) = x2 – 4x – 5
C
f(x) = x2 + 6x + 2
D
f(x) = –2x2 – 8x + 1
E
f(x) = –2x2 + 8x – 2

Explanation

For a quadratic f(x) = ax² + bx + c, the axis of symmetry is x = −b/(2a). For A, x = −4/(2) = −2; for D, x = −(−8)/(2·−2) = −2. The other choices give axes x = 2, x = −3, and x = 2, so the correct functions are A and D.

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