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 ?

The vertex of y = (x − 5)² + 7 is (5, 7), and the vertex of y = (x + 1)² − 2 is (−1, −2). Moving from (5, 7) to (−1, −2) means shifting 6 units left and 9 units down, so the correct choice is “6 units left and 9 units down.”

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