Answer
See graph and explanations.
Work Step by Step
Step 1. Start from function $y=cos(2x)$ (purple) which has a period of $\pi$ to obtain $y=sec(2x)$ (green) using reciprocal properties.
Step 2. Start from $y=sec(2x)$ (green curve), shift the curve $\frac{\pi}{4}$ to the left, and then shift the result down 1 unit to get the red curve for $y=sec(2x+\frac{\pi}{2})-1$
See graph and explanations.
