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

Period = 8π

Phase shift = 2π/3

Amplitude = 1/2

Vertical shift = 2

Step-by-step 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.

step-by-step explanation:

at each of the parallel lines adjacent angles are supplementary. the angles have special names identifying their positions with respect to the parallel lines and transversal. they are corresponding angles, alternate interior angles, or alternate exterior angles. an angles is congruent to its matched angle.