The graph of the parent function f(x) = x3 is translated to form g(x) = (x – 7)3 + 9. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

In g(x) = (x − 7)³ + 9, the −7 inside the parentheses shifts the graph 7 units to the right, and the +9 shifts it 9 units up. So the parent function’s point (0, 0) moves to (0 + 7, 0 + 9) = (7, 9), choice A.

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