Describe the transformations applied to the base parent function y=x^3 to obtain the function y=-1/3(x+2)^3-1, and then graph the function

Question

I'm very stuck on this question and I'm not sure how to graph this function.

Answer 1

Start with the graph of y = x³

 

Translate the graph of y = x³ two units to the left to get the graph of y = (x+2)³

 

Compress the graph of y = (x+2)³ vertically to get the graph of y = (1/3)(x+2)³

 

Translate the graph of y = (1/3)(x+2)³ one unit upward to get the graph of y = (1/3)(x+2)³ + 1

 

Reflect the graph of y = (1/3)(x+2)³ + 1 in the x-axis to get the graph of y = (-1/3)(x+2)³ - 1