The graph of the parent function f of x is equal to x cubed is translated to form the graph of g of x is equal to x minus 4 cubed minus 7 The point 0 comma 0 on the graph of f of x corresponds to which point on the graph of g of x ?

The function g(x) = (x − 4)^3 − 7 shifts the graph of f(x) = x^3 four units to the right and seven units down. So the point (0, 0) moves to (0 + 4, 0 − 7) = (4, −7), which is choice C.

AI-written and checked against the verified answer.