Answer
See graph and explanations.
Work Step by Step
Step 1. Given $y=2cos(2x+\pi)$, we can identify its amplitude as $A=2$, period as $p=\frac{2\pi}{2}=\pi$, and phase shift as $\phi=-\frac{\pi}{2}$
Step 2. We can graph a complete period as shown in the figure.