CAPSTONE Use the fact that the graph of $y=f(x)$ is increasing on the intervals $(-\infty,-1)$ and $(2, \infty)$ and decreasing on the interval $(-1,2)$ to find the intervals on which the graph is increasing and decreasing. If not possible, state the reason.
$$
\begin{array}{l}{\text { (a) } y=f(-x) \quad \text { (b) } y=-f(x) \quad \text { (c) } y=\frac{1}{2} f(x)} \\ {\text { (d) } y=-f(x-1) \text { (e) } y=f(x-2)+1}\end{array}
$$