10
QuizMultiple Choice

Transformations of Quadratic Functions — Quiz

Question 10 • Algebra II

Christian is rewriting an expression of the form y is equal to A x squared plus b x plus c in the form y is equal to A times open paren x minus h close paren squared plus k Which of the following must be true?

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

Explanation

Rewriting in vertex form changes the expression’s arrangement, but it does not change the coefficient multiplying the squared term. The coefficient A in y = Ax² + bx + c is therefore still A in y = A(x − h)² + k. In general, h = −b/(2A), so choice A is not always true.

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