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Math Help - Phase shift..

  1. #1
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    Phase shift..

    State the amplitude, period, and phase shift of
    U = -1/3 sin(1/2x + pi/4) - 5
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  2. #2
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    Re: Phase shift..

    Quote Originally Posted by JamesBond16 View Post
    State the amplitude, period, and phase shift of
    U = -1/3 sin(1/2x + pi/4) - 5
    y = A\sin[B(x+C)] + D

    A ... |A| = amplitude

    B ... period, T = \frac{2\pi}{|B|}

    C ... horizontal or phase shift (+ left , - right)

    D ... vertical shift (+ up , - down)

    you should be familiar with all of these parameters
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  3. #3
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    Re: Phase shift..

    So the period = 1/4 and the phase shift = pi?
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  4. #4
    MHF Contributor Siron's Avatar
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    Re: Phase shift..

    If you wright:
    u=\frac{-1}{3}\sin \left(\frac{x}{2}+\frac{\pi}{4}\right)-5 as u=\frac{-1}{3}\sin \left[\frac{1}{2} \left(x+\frac{\pi}{2}\right)\right]-5

    So the period will be: T=\frac{2\pi}{\frac{1}{2}} = ...

    ...
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