Final answer:
The parent function for g(x)=(x+3)³ is f(x) = x³, and the transformation it represents is a horizontal shift to the left by 3 units.
Step-by-step explanation:
The parent function for g(x) = (x + 3)³ is the cubic function, f(x) = x³. The transformation represented by g(x) = (x + 3)³ is a horizontal shift to the left by 3 units. This is because the function is derived from the parent function by replacing x with x + 3, which shifts the graph 3 units to the left.