Chapter 4 - Section 4.5 - Graphs of Sine and Cosine Functions - Exercise Set - Page 595: 25

Please see below.

Please note that a sine function $y=A\sin (Bx-C)$ has amplitude $|A|$, period $\frac{2\pi }{B}$, and phase shift $\frac{C}{B}$. So the function $y=-2\sin (2x+\frac{\pi }{2})$ has amplitude $|-2|=2$, period $\frac{2\pi }{2 }=\pi $, and phase shift $\frac{- \frac{\pi }{2}}{2}=-\frac{\pi }{4}$.