Answer
See the graph
Work Step by Step
Given: $\frac{-3}{x-6}$
$x-6=0$
$x=6$
The vertical asymptote is the line $x=6$.
Make a list of values:
$x=-3 \rightarrow y=\frac{1}{3}$
$x=0 \rightarrow y=\frac{1}{2}$
$x=3 \rightarrow y=1$
$x=12 \rightarrow y=-\frac{1}{2}$