How do you graph $y=5+sin(1/2x)$ ?

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Answer 1 · 2018-06-07T22:49:19

The graph will be a sine function centered on $y =5$ with a period of $4pi$

$y=5+sin(1/2x)$

$y=sin(1/2x) +5$

Standard Form is:

y=asin(bx-c) + d

a=amplitude or vertical stretch/compression
b=horizontal stretch/compression
c=horizontal shift
d=vertical shift

Your function $b=1/2$ and $d=5$ :

a horizontal stretch by a factor of 2 will make the period $4pi$ .

a vertical shift up 5 units.

The graph will be a sine function centered on $y =5$ with a period of $4pi$

graph{sin(1/2x) +5 [-11.58, 8.42, 0.68, 10.68]}

How do you graph y=5+sin(1/2x)y=5+sin(1/2x)?