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

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Answer 1 · 2017-10-28T11:30:01

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

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

$y$ 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]}

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