Question

(co
Write a cosine function that has an amplitude of 2, a midline of 5 and a period of 8.

Answer 1

y=2 cos (π/4x-π/4)

Step-by-step explanation:

Given

A cosine function has an amplitude of 2, a midline of 5 and a period of 8.

To find:

A cosine function.

Step-by-step explanation:

Let the function be,

`y=Acos(ws+p)`

Since amplitude is 2.

Then,

`A=2`

Also, since the period is 8.

Then,

`w=(2\pi )/(8)`

`w=(\pi )/(4)`

And, since midline is 5.

Hence, the cosine function is,

y=2 cos (
`(\pi )/(4)`x-
`(\pi )/(4)`