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

Oct 28, 2017

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

#### Explanation:

$y = \cos \left(\frac{x}{2}\right) + 1$

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

This can be seen on the graphic below showing $y$ and the standard graph of $\cos x$

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