The graph of the parent function f of x is equal to x cubed is translated to form g of x is equal to x minus 7 cubed plus 9 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

In g(x) = (x − 7)³ + 9, subtracting 7 inside shifts the graph 7 units to the right, and adding 9 shifts it 9 units up. So the point (0, 0) moves to (7, 9), which is choice D.

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