10
QuizMultiple Choice

Completing the Square (Continued)

Question 10 • *Integrated Math II Full

What is the vertex of g(x) = –3x2 + 18x + 2?

Answer
A
(3, –25)
B
(–3, –25)
C
(3, 29)
D
(–3, 29)

Explanation

For g(x) = –3x² + 18x + 2, the vertex’s x-coordinate is –b/(2a) = –18/[2(–3)] = 3. Substituting x = 3 gives g(3) = –3(9) + 18(3) + 2 = 29, so the vertex is (3, 29), choice C.

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