Answer
Vertical stretch by a factor of $3$, shift $12$ units downwards.
Work Step by Step
The graph of
$$
g(x)=\frac{3}{x}-12
$$ is similar to the graph of the parent function, $f(x)=\frac{1}{x}$, which is a decreasing curve located at Quadrants I and III. The graph of $g(x)$, though, is vertically stretched by a factor of $3$ which causes the curve to have a narrower opening and for the points to be shifted $12$ units downwards.
