Question

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

Answer 1

Answer:

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.

Explanation:

Let the function be,

$y=Acos(ws+p)$

Since amplitude is 2.

Then,

$A=2$

Also, since the period is 8.

Then,

$w=\frac{2\pi }{8}$

$w=\frac{\pi }{4}$

And, since midline is 5.

Hence, the cosine function is,

y=2 cos ($\frac{\pi }{4}$x-$\frac{\pi }{4}$