For a short time after a wave is created by wind, the height of the wave can be modeled using y = a sin , where a is the amplitude and T is

Question

For a short time after a wave is created by wind, the height of the wave can be modeled using y = a sin , where a is the amplitude and T is the period of the wave in seconds.

13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.
amplitude: 4, period 4 phase shift = vertical shift = -2

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Melanie 2 months 2021-10-12T02:13:38+00:00 1 Answer 0 views 0

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    2021-10-12T02:15:03+00:00

     \bold{\text{Answer:}\quad y=4\ sin\bigg(\dfrac{\pi}{2}x\bigg)-2}

    Step-by-step explanation:

    y = A sin (Bx – C) + D

    • A: Amplitude
    • Period = 2π/B
    • Phase Shift = C/B
    • D: Vertical shift

    Given: A = 4,  Period = 4,  Phase Shift = none (0),  D = -2

                          \text{Period}=\dfrac{2\pi}{B}=4\quad \rightarrow \quad B=\dfrac{\pi}{2}

              \large\boxed{y=4\ sin\bigg(\dfrac{\pi}{2}x\bigg)-2}

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45:7+7-4:2-5:5*4+35:2 =? ( )