Chapter 4 - Section 4.3 - Vertical and Horizontal Translations - 4.3 Problem Set - Page 217: 17

$Amplitude = 4$ $Period = \pi$ $Vertical\ translation = 4\ units\ upward$

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 $y = 4 + 4 \sin 2x$ $Amplitude = |4| = 4$ $Period = \frac{2\pi}{2} = \pi$ $ Vertical\ translation = 4\ units\ upward$