Chapter 3.2, Problem 7E

Transformations of Monomials Sketch the graph of each function by transforming the graph of an appropriate function of the form $y=x^n$ from Figure 1. Indicate all $x$ - and $y$ -intercepts on each graph.
(a) $P(x)=x^3-8$
(b) $Q(x)=-x^3+27$
(c) $R(x)=-{(x+2)}^3$
(d) $S(x)=\frac{1}{2}{(x-1)}^3+4$