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Math Help - Phase shift of y=3sin(x/3 - pi/3)

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    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?
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    Quote Originally Posted by Wolvenmoon View Post
    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]
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