Writing an equation for a function

[rachelmaddie]

Can someone please check my work?

y = 4sin((t+4π/3)/2) -2

The generic form is:
y = A*sin(B(t - C)) +D
where A is the amplitude, B is 2π/period, C is the phase shift, and D is the vertical shift

A = 4
period = 4π, so B = (2π)/(4π) = ½
C = -4π/3
D = -2
Putting these values into the above form gives:
y = 4sin((t+4π/3)/2) -2

 

[Otis]

Hi rachel. Their given function shows neither a phase shift nor a vertical shift, so I'm not sure why they gave it. I'm assuming you were instructed to use the generic form that you've posted, instead.

Your function result (after substituting the given parameter values) is correct.

?