8
QuizMultiple Choice

Transformations of Quadratic Functions — Quiz

Question 8 • Algebra II

Which equation is y is equal to negative 3 x squared minus 12 x minus 2 rewritten in vertex form?

Answer
A
y is equal to negative 3 times open paren x minus 2 close paren squared plus 10
B
y is equal to negative 3 times open paren x plus 2 close paren squared plus 10
C
y is equal to negative 3 times open paren x plus 2 close paren squared minus 14
D
y is equal to negative 3 times open paren x minus 2 close paren squared minus 2

Explanation

Factor −3 from the quadratic and linear terms: y = −3(x² + 4x) − 2. Complete the square inside the parentheses: x² + 4x = (x + 2)² − 4, so y = −3[(x + 2)² − 4] − 2 = −3(x + 2)² + 10. Therefore, the vertex form is “y is equal to negative 3 times (x plus 2) squared plus 10.”

AI-written and checked against the verified answer.

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