### Home > A2C > Chapter 11 > Lesson 11.2.3 > Problem11-73

11-73.

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.

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

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

The equations are equivalent. Their graphs do not differ.

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

What is the highest power in each?