### Home > CCA2 > Chapter 3 > Lesson 3.2.2 > Problem3-83

3-83.

Sketch the graph of $y = (x + 2)^3 + 4$.    Homework Help ✎

1. What is the parent graph of this function? How has the graph of this function been transformed from the parent graph?

y = x3; it's been moved to the left and up.

2. Rewrite the equation y = (x + 2)3 + 4 without parentheses. Remember the Order of Operations.

Remember (x + 2)3 = (x + 2)(x + 2)(x + 2).

y = x3 + 6x2 + 12x + 12

3. How would the graph in part (b) differ from the graph of the original equation?

Try graphing both of these. Are there any differences?