What is the vertex of g(x) = 3x2 − 12x + 7?

For g(x) = 3x² − 12x + 7, the vertex’s x-coordinate is −b/(2a) = −(−12)/(2 · 3) = 2. Substituting x = 2 gives g(2) = 3(2²) − 12(2) + 7 = −5. Therefore, the vertex is (2, −5), choice C.

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