12
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 12 • Algebra II

Which equation is y is equal to 9 x squared plus 9 x minus 1 rewritten in vertex form?

Answer
A
y is equal to 9 times open paren x plus 1 half close paren squared minus 1
B
y is equal to 9 times open paren x plus 1 half close paren squared minus 13 fourths
C
y is equal to 9 times open paren x plus 1 half close paren squared minus 5 fourths
D
y is equal to 9 times open paren x plus 1 half close paren squared plus 5 fourths

Explanation

Factor 9 from the quadratic and linear terms: y = 9(x² + x) − 1. Complete the square using half of 1, which is 1/2: y = 9[(x + 1/2)² − 1/4] − 1 = 9(x + 1/2)² − 13/4. Therefore, the vertex form is choice C, y = 9(x + 1/2)² − 13/4.

AI-written and checked against the verified answer.

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