8
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 8 • Algebra II

Which phrase best describes the translation from the graph y is equal to open paren x minus 5 close paren squared plus 7 to the graph of y is equal to open paren x plus 1 close paren squared minus 2 ?

Answer
A
6 units left and 9 units down
B
6 units right and 9 units down
C
6 units left and 9 units up

Explanation

The vertex form y = (x − h)² + k has vertex (h, k). The first graph has vertex (5, 7), and the second has vertex (−1, −2). Moving from (5, 7) to (−1, −2) shifts the graph 6 units left and 9 units down, so the correct phrase is “6 units left and 9 units down.”

AI-written and checked against the verified answer.

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