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QuizMultiple Choice

Transformations of Quadratic Functions

Question 1 • FL-1200330-Algebra 2 CR

Christian is rewriting an expression of the form y = ax2 + bx + c in the form y = a(x – h)2 + k. Which of the following must be true?

Answer
A
h and k cannot both equal zero
B
k and c have the same value
C
the value of a remains the same
D
h is equal to one half –b

Explanation

Completing the square changes the expression’s form, but it does not change the coefficient of the squared term. In y = a(x – h)² + k, the coefficient a is the same as in y = ax² + bx + c. The other values may change: for example, k is not necessarily c, and h can equal zero.

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