27
QuizMultiple Choice

N/A — Exam

Question 27 • Algebra I

The graph of which function has an axis of symmetry at x is equal to negative 1 fourth ?

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

Explanation

For a quadratic function f(x) = ax² + bx + c, the axis of symmetry is x = −b/(2a). In choice A, a = 2 and b = 1, so the axis is x = −1/(2 × 2) = −1/4. Therefore, the function 2x² + x − 1 has the stated axis of symmetry.

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