contestada

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

Respuesta :

tramserran

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

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

                      [tex]\text{Period}=\dfrac{2\pi}{B}=4\quad \rightarrow \quad B=\dfrac{\pi}{2}[/tex]

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