6
QuizMultiple Choice

Transformations of Quadratic Functions

Question 6 • FL-1200330-Algebra 2 CR

What is the first step when rewriting y = –4x2 + 2x – 7 in the form y = a(x – h)2 + k?

Answer
A
2 must be factored from 2x – 7
B
–4 must be factored from –4x2 + 2x
C
x must be factored from –4x2 + 2x
D
–4 must be factored from –4x2 – 7

Explanation

To rewrite the quadratic in vertex form, first group the x² and x terms and factor out their leading coefficient, –4: y = –4(x² – ½x) – 7. This prepares the expression inside the parentheses for completing the square. Therefore, the correct choice is B, –4 must be factored from –4x² + 2x.

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