Question

Sketch the graph of each function

Answer 1

Answer:

The graph is a sin wave given in the image

Answer 2

Answer:

See diagram

Step-by-step explanation:

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

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