The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 5)3 − 6. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

In g(x) = (x + 5)³ − 6, adding 5 inside the function shifts the graph 5 units left, and subtracting 6 shifts it 6 units down. So the point (0, 0) moves to (−5, −6), which is choice B.

AI-written and checked against the verified answer.