The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)?

The vertex of f(x) = x² is (0, 0). Moving it 7 units right and 5 units up gives the vertex (7, 5). A parabola with vertex (h, k) has the form g(x) = (x − h)² + k, so g(x) = (x − 7)² + 5. This is choice B.

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