# Write an equation of the sine function with amplitude 3, period 3pi/2, and phase shift pi/4?

Write trig equation $y = 3 \sin \left(3 x + \frac{\pi}{4}\right)$
$P e r i o d = \frac{2 \pi}{k} = \frac{2 \pi}{3} \to K = 3$
$y = 3 \sin \left(3 x + \frac{\pi}{4}\right)$