6
QuizMultiple Choice

Transformations of Quadratic Functions — Quiz

Question 6 • Algebra II

Which equation is y is equal to 6 x squared plus 12 x minus 10 rewritten in vertex form?

Answer
A
y is equal to 6 times open paren x plus 1 close paren squared minus 16
B
y is equal to 6 times open paren x plus 1 close paren squared minus 10
C
y is equal to 6 times open paren x plus 1 close paren squared minus 4
D
y is equal to 6 times open paren x plus 1 close paren squared minus 11

Explanation

Factor 6 from the quadratic and linear terms: y = 6(x² + 2x) − 10. Complete the square inside the parentheses by adding and subtracting 1: y = 6[(x + 1)² − 1] − 10 = 6(x + 1)² − 16. So the vertex form is choice C, y = 6(x + 1)² − 16.

AI-written and checked against the verified answer.

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