5
practice testMultiple Choice

Practice Test

Question 5 • Advanced Algebra: Concepts and Connections

Which equation is y is equal to negative 6 x squared plus 3 x plus 2 rewritten in vertex form?

Answer
A
y is equal to negative 6 times open paren x minus 1 fourth close paren squared plus 19 eighths
B
y is equal to negative 6 times open paren x plus 1 fourth close paren squared plus 13 eighths
C
y is equal to negative 6 times open paren x minus 1 close paren squared plus 8
D
y is equal to negative 6 times open paren x minus 1 half close paren squared plus 7 halves

Explanation

For y = -6x² + 3x + 2, the vertex’s x-coordinate is -b/(2a) = -3/(2 · -6) = 1/4. Substituting x = 1/4 gives y = 19/8, so the vertex form is y = -6(x - 1/4)² + 19/8, which is choice D.

AI-written and checked against the verified answer.

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