7
QuizMultiple Choice

Completing the Square (Continued) — Quiz

Question 7 • Algebra I

What is the vertex of g of x is equal to negative 3 x squared plus 18 x plus 2 ?

Answer
A
3 comma negative 25
B
negative 3 comma negative 25
C
3 comma 29
D
negative 3 comma 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. Therefore, the vertex is (3, 29), choice D.

AI-written and checked against the verified answer.

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