Write an equation for a sine curve that has the given amplitude, period, and phase shift.?

3, 6, 4

The amplitude is 3

The period is 6

And the phase shift is 4

I've been stuck on this, can someone help me.

1 Answer

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  • Math
    Lv 7
    6 years ago
    Favorite Answer

    Here is how you do it,

    y = b sin (k(t - c))

    | b | = amplitude

    period = 2pi / k

    c = phase shift

    so we have to compute k.

    2pi / k = 6

    k = 2pi/6 = pi/3

    We can now plug in these values in the equation -

    y = 3 sin [ (pi/3)(t - 4) ]

    Done!

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