Question

What is the period, phase shift, amplitude, and vertical shift of:
Y=1/2sin(theta/4-2pi/3)+2

Answer 1

Period = 8π

Phase shift = 2π/3

Amplitude = 1/2

Vertical shift = 2

Explanation:

y = A sin((2π/T)θ − B) + C

where A is the amplitude,

T is the period,

B is the phase shift,

and C is the vertical shift.

y = ½ sin(¼θ − 2π/3) + 2

So A = 1/2, T = 8π, B = 2π/3, and C = 2.