10
QuizMultiple Choice

Transformations of Quadratic Functions

Question 10 • FL-1200330-Algebra 2 CR

What is the first step when rewriting y = 6x2 + 18x + 14 in the form y = a(x – h)2 + k?

Answer
A
16 must be factored from 18x + 14
B
x must be factored from 6x2 + 18x
C
6 must be factored from 6x2 + 14
D
6 must be factored from 6x2 + 18x

Explanation

To complete the square, first factor the coefficient of x² from the terms that contain x. In y = 6x² + 18x + 14, factor 6 from 6x² + 18x to get y = 6(x² + 3x) + 14. Therefore, the correct choice is “6 must be factored from 6x² + 18x.”

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