Answer
$y = sec~(x+\frac{3\pi}{4})$
We can see the graph below.
Work Step by Step
$y = sec~(x+\frac{3\pi}{4})$
When $x = -\frac{5\pi}{4}$, then $y = sec~(-\frac{\pi}{2})~~$(which is undefined)
When $x = -\frac{3\pi}{4}$, then $y = sec~0 = 1$
When $x = -\frac{\pi}{4}$, then $y = sec~\frac{\pi}{2}~~$(which is undefined)
When $x = \frac{\pi}{4}$, then $y = sec~\pi = -1$
When $x = \frac{3\pi}{4}$, then $y = sec~\frac{3\pi}{2}~~$ (which is undefined)
We can see the graph below.
