Question

A sine function has the following key features:
Frequency = 1/6π
Amplitude = 2
Midline: y = 3
y-intercept: (0, 3)
The function is not a reflection of its parent function over the x-axis. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.

Answer 1

Answer:

we got this form..

Step-by-step explanation:

y = A sin (Bx + C ) + D

A = the amplitude =  2

B.....shows the number of periods in 2pi

The frequency  =  1/6pi   =  1 / period......so the period is 6pi

To find  "B"   we have      2pi / [ 6 pi ]  =  (1/3)

C = the phase shift..there is none....so "C" = 0

D = the shift up/down.....the normal y intercept  for the sine is (0, 0)....so....the shift up  = 3 units....sice the y intercept = (0, 3)

So....the function is

y = 2sin (x/3) + 3