How does the graph of g(x) = (x + 4)^3 − 6 compare to the parent function f(x) = x^3?

a) g(x) is shifted 6 units to the left and 4 units down.
b) g(x) is shifted 4 units to the right and 6 units down.
c) g(x) is shifted 6 units to the left and 4 units up.
d) g(x) is shifted 4 units to the left and 6 units down.

  D) g(x) is shifted 4 units to the left and 6 units down

Step-by-step explanation:

When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.

Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.