Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

The graph of f(x) = x² has its vertex at (0, 0). Rewrite g(x) by completing the square: x² − 10x + 2 = (x − 5)² − 23, so its vertex is (5, −23). Moving from (0, 0) to (5, −23) means translating right 5 and down 23, which is choice A.

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