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

3-83.

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

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

$y=x^3$; 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 $(x+2)^3=(x+2)(x+2)(x+2).$

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

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?