Final answer:
The function h(x) = -(x + 2)^3– 4 is a transformed version of the function f(x) = x^3. It is translated 2 units to the left, reflected across the x-axis, and shifted downward by 4 units.
Step-by-step explanation:
The function h(x) = -(x + 2)^3– 4 is a transformed version of the function f(x) = x^3. To create function h, function f was translated 2 units to the left, as indicated by the term (x + 2).
The negative sign (-) reflects the function across the x-axis, resulting in a downward-facing graph. The term -4 shifts the function downwards by 4 units.