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

1 Answer
Alan N.
Oct 28, 2017

#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]}

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