Answer
shift $\frac{1}{x^2}$ to the right 3 units,
(a) domain $(-\infty,3)U(3,\infty)$
(b) range $(0,\infty)$
(c) increasing $(-\infty,3)$
(d) decreasing $(3,\infty)$
Work Step by Step
The graph of $f(x)=\frac{1}{(x-3)^2}$ can be obtained by shifting $\frac{1}{x^2}$ to the right 3 units. See graph, we can identify the following:
(a) domain $(-\infty,3)U(3,\infty)$
(b) range $(0,\infty)$
(c) increasing $(-\infty,3)$
(d) decreasing $(3,\infty)$