Answer
please see image
.
Work Step by Step
(Work done in online calculator desmos.com)
Let $f(x)=\displaystyle \frac{1}{x^{2}}$ (graph: blue, dashed)
$h(x)=\displaystyle \frac{1}{x^{2}}-3=f(x)-3$
So, the graph of h (red, solid line)
is obtained by
shifting the graph of $f(x)=\displaystyle \frac{1}{x^{2}}$ down by $3$ units.
(the horizontal asymptote also shifts)