Answer
(a) The parent function is: $f(x)=x^3$
(b) A vertical compression for a factor of $3$ and reflection across the $x$-axis.
(c) The sketch of the graph is as shown.
(d) $h(x)=-\frac{1}{3}f(x)$
Work Step by Step
(a) The parent function is $f(x)=x^3$
(b) A vertical compression for a factor of $3$ and reflection across the $x$-axis.
(c) The sketch of the graph is as shown.
(d) $h(x)=-\frac{1}{3}f(x)$