Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

The vertex of f(x) = x² is (0, 0). For g(x) = x² − 8x + 7, complete the square: g(x) = (x − 4)² − 9, so its vertex is (4, −9). Moving from (0, 0) to (4, −9) means right 4 and down 9, which is choice C.

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