The graph of the parent function f(x) = x3 is translated to form the graph of g(x) = (x + 3)3 – 4. The point (0, 0) on the graph of f(x) corresponds to which point on the graph of g(x)?

In g(x) = (x + 3)³ − 4, the +3 inside the function shifts the graph 3 units left, and the −4 shifts it 4 units down. So the point (0, 0) moves to (0 − 3, 0 − 4) = (−3, −4), which is choice D.

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