🧠 GRE Exam Prep

For the quadratic function f(x) = -x² + 6x - 5, which of the following statements is true?

A The parabola opens upwards.
B The y-intercept is 5.
C The vertex has an x-coordinate of 3.
D The function has no real roots.

✓ Correct Answer: Option C

For a quadratic function f(x) = ax² + bx + c, the x-coordinate of the vertex is given by -b/(2a). Here, a = -1 and b = 6. So, the x-coordinate of the vertex is -6 / (2 * -1) = -6 / -2 = 3.

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