Question

for a short time after a wave is created by wind the height of the wave can be modeled using y= a sin 2pit/T where a is the amplitude and T is the period of the wave in seconds. Srite an equation for the given function given the amplitude =4, period =4pi, phase shift = -4/3pi, vertical shift = -2

Answer 1

Answer:

y = 4 sin(t/2 + 4π/3) − 2

Step-by-step explanation:

General form:

y = a sin(2π/T t)

Given a = 4 and T = 4π:

y = 4 sin(2π/(4π) t)

y = 4 sin(t/2)

Add horizontal shift of -4π/3 and vertical shift of -2:

y = 4 sin(t/2 − (-4π/3)) − 2

y = 4 sin(t/2 + 4π/3) − 2