Write a cosine function that has an amplitude of 3, a midline of 2 and a period

f(x) = 3 cos  (2Pi / period value ; x  )+ 2

cosine function amplitude of 3 is  A = 3

The period is used to find B

You need to show period value as the numerator and work out from there with 2PI as a function to show as 2pi / period

C is the adding value.

Step-by-step explanation:

Acos (Bx) + C

A = 3

Bx =  2 pi / period

C = + 2

the answer is 31.27mph

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)