Sketch the graph of $y = \left(x + 2\right)^{3} + 4$.

1. Rewrite the equation $y = \left(x + 2\right)^{3} + 4$without parentheses. Remember the order of operations.

   Answer (a):

   $y = x^{3} + 6x^{2} + 12x + 12$

2. How would the graph in part (a) differ from the graph of the original equation?

   Answer (b):

   The equations are equivalent. Their graphs do not differ.

3. What is the parent equation of $y = \left(x + 2\right)^{3} + 4$? Of $y = x^{3} + 6x^{2} + 12x + 12$?

   Hint (c):

   What is the highest power in each?