Answer
shift the graph of $f(x)=\displaystyle \frac{1}{x}$ to the right by 2 units
please see image
Work Step by Step
(Work done in online calculator desmos.com)
Let $f(x)=\displaystyle \frac{1}{x}$ (graph: blue, dashed)
$g(x)=\displaystyle \frac{1}{x-2}=f(x-2)$
So, the graph of g (red, solid line)
is obtained by
shifting the graph of $f(x)=\displaystyle \frac{1}{x}$ to the right by 2 units
please see image