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MA 1310

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What is the amplitude, period and phase shift for y = 1/4 cos (3x +7)? Thank you, please show work.

  • MA 1310 -

    rewrite it in the more general form as

    y = (1/4) cos 3(x + 7/3)

    compared to y = a cos k(Ø + p)

    the amplitude is 1/4
    the period is 2π/3
    the phase shift is 7/3 to the left

    for your equation in the original form a common mistake would be to state that the sphase shift is 7.
    Note the step I took to avoid that error.

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