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.

we got this form..

Step-by-step explanation:

y = A sin (Bx + C ) + D

A = the amplitude =  2

Bshows the number of periods in 2pi

The frequency  =  1/6pi   =  1 / periodso the period is 6pi

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

C = the phase shift..there is noneso "C" = 0

D = the shift up/downthe normal y intercept  for the sine is (0, 0)sothe shift up  = 3 unitssice the y intercept = (0, 3)

Sothe function is

y = 2sin (x/3) + 3

step-by-step explanation:

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you