Chapter 4 - Section 4.3 - Vertical and Horizontal Translations - 4.3 Problem Set - Page 217: 18

$Amplitude = 2$ $Period = \frac{\pi}{2}$ $Vertical\ translation = 2\ units\ downward$

we know that If C is any real number and $B> 0$, then the graphs of $y = k + A\sin(Bx+C)$ and $y = k + A\cos (Bx+C)$ will have $Amplitude = |A|$ $Period = \frac{2\pi}{B}$ $ Vertical\ translation = k$ so for $y = -2 + 2 \sin 4x$ $Amplitude = |-2| = 2$ $Period = \frac{2\pi}{4} = \frac{\pi}{2}$ $Vertical\ translation = -2 = 2\ units\ downward$