The graph of $y = \frac{p(x)}{q(x)}$ is shown below, where $p(x)$ and $q(x)$ are quadratic. (Assume that the grid lines are at integers.)
The horizontal asymptote is $y = -1,$ and the only vertical asymptote is $x = 2.$ Find $\frac{p(-1)}{q(-1)}.$
p(-1)/q(-1) = 11/2.