Question

Sketch the graph of each function

Answer 1

The graph is a sin wave given in the image

Answer 2

See diagram

Explanation:

First, consider the graph of the parent function
`y=\cos x.` This function has the period
`2\pi.`

Rewrite the function
`y=2(1+\cos (x-(\pi)/(2)))` as
`y=2+2\cos (x-(\pi)/(2)).` The graph of this function has the same period of
`2\pi,` is twice streched and translated
`(\pi)/(2)` units to the right and 2 units up graph of the parent function (see diagram).