## Precalculus (10th Edition)

We are given the function: $f(x)=-(x+1)^3-1$ We start graphing with the basic function $a(x)=x^3$. We horizontally shift $a(x)$ one unit to the left to get $b(x)=(x+1)^3$. Then we reflect $b(x)$ about the $x$-axis to get $c(x)=-(x+1)^3$. Finally we vertically shift $c(x)$ one unit downward to get $f(x)=-(x+1)^3-1$. We use 4 points: $(-2,0),(-1,-1),(0,-2)$.