Given the graph of a hyperbola with vertical asymptote x = -2 and horizontal asymptote y = 6, find the equation of the hyperbola.

The vertical asymptote is $x = -2$.
The horizontal asymptote is $y = 6$.
The general form of a hyperbola with asymptotes $x=p$ and $y=q$ is $y = \frac{k}{x-p} + q$.
Substituting the asymptotes, we get:

$$y = \frac{k}{x - (-2)} + 6$$ $$y = \frac{k}{x+2} + 6$$