7
QuizMultiple Choice

Transformations of Quadratic Functions — Quiz

Question 7 • Algebra II

Which equation is y is equal to 2 x squared minus 8 x plus 9 rewritten in vertex form?

Answer
A
y is equal to 2 times open paren x minus 2 close paren squared plus 5
B
y is equal to 2 times open paren x minus 2 close paren squared plus 9
C
y is equal to 2 times open paren x minus 2 close paren squared plus 17
D
y is equal to 2 times open paren x minus 2 close paren squared plus 1

Explanation

Factor 2 from the quadratic and linear terms: y = 2(x² − 4x) + 9. Completing the square gives x² − 4x = (x − 2)² − 4, so y = 2(x − 2)² − 8 + 9 = 2(x − 2)² + 1. This is choice D.

AI-written and checked against the verified answer.

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