Question

How do you graph `y=cos(1/2x)+1`?

Answer 1

`y` is the standard graph of `cosx` shifted 1 unit positive ('up') on the `y-`axis with a period extended ('stretched') to `4pi`

Explanation:

`y = cos(x/2)+1`

`y` is the standard graph of `cosx` shifted 1 unit positive ('up') on the `y-`axis with a period extended ('stretched') to `4pi`

This can be seen on the graphic below showing `y` and the standard graph of `cosx`

graph{(cos(x/2)+1-y)(cosx -y)=0 [-11.24, 11.26, -5.63, 5.61]}