# How do you graph y = 3 + 4 sin (pi/2) (x-2)?

Nov 14, 2015

First, distribute the $\frac{\pi}{2}$

#### Explanation:

$y = 4 \sin \left[\left(\frac{\pi}{2}\right) x - \pi\right] + 3$

phase shift : The $- \pi$ results in a phase shift to the right $\pi$ units

period : The coefficient ($\frac{\pi}{2}$) in front of x determines the period ...
$= \frac{2 \pi}{\frac{\pi}{2}} = 4$

vertical shift: 3 units up

amplitude $= 4$

hope that helped