Answer:
See diagram
Step-by-step explanation:
First, consider the graph of the parent function [tex]y=\cos x.[/tex] This function has the period [tex]2\pi.[/tex]
Rewrite the function [tex]y=2(1+\cos (x-\frac{\pi}{2}))[/tex] as [tex]y=2+2\cos (x-\frac{\pi}{2}).[/tex] The graph of this function has the same period of [tex]2\pi,[/tex] is twice streched and translated [tex]\frac{\pi}{2}[/tex] units to the right and 2 units up graph of the parent function (see diagram).
