#### Answer

$x = \frac{5\pi}{4} + \pi~n$, where $n$ is any integer

#### Work Step by Step

The function $y = -2-cot(x-\frac{\pi}{4})$ is undefined when $x = \frac{5\pi}{4}$
We can find the general form of the equation of the asymptotes:
$x = \frac{5\pi}{4} + \pi~n$, where $n$ is any integer