# Thread: Phase shift of y=3sin(x/3 - pi/3)

1. ## Phase shift of y=3sin(x/3 - pi/3)

Alright, on my practice final I missed part of this problem, and am not sure why.

y=3 sin ( x/3 - pi/3 )

The amplitude is 3, the period 6pi ( (2pi)/1/3 ), no vertical translation, but the phase shift is pi units to the right, I answered pi/3.

Why is this?

2. Originally Posted by Wolvenmoon
Alright, on my practice final I missed part of this problem, and am not sure why.

y=3 sin ( x/3 - pi/3 )

The amplitude is 3, the period 6pi ( (2pi)/1/3 ), no vertical translation, but the phase shift is pi units to the right, I answered pi/3.

Why is this?
$3\sin\left(\frac{x}{3} - \frac{\pi}{3}\right) = 3\sin\left[\frac{1}{3}\left(x \textcolor{red}{- \pi}\right)\right]$