Which translation maps the vertex of the graph of the function f of x is equal to x squared onto the vertex of the function g of x is equal to x squared minus 10 x plus 2 ?

The vertex of f(x) = x² is (0, 0). Complete the square for g(x): x² − 10x + 2 = (x − 5)² − 23, so its vertex is (5, −23). Moving from (0, 0) to (5, −23) means right 5 and down 23, which is choice D.

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