How do you graph #y=3sin(1/2x)#?

1 Answer
Alan N.
Dec 3, 2017

#y# has the standard graph of #sinx# with peak-amplitude scaled by 3 units and period extended ("stretched") to #4pi#.

Explanation:

#y =3sin(x/2)#

#y = 3 xx sin theta#: where #theta = x/2#

Hence, the graph #y# is the standard graph of #sinx# with peak-amplitude scaled by 3 units and period extended ("stretched") to #4pi#.

As can be seen in the graph of #y# below.
graph{3sin(x/2) [-14.24, 14.24, -7.12, 7.12]}

Related questions
See all questions in Translating Sine and Cosine Functions
Impact of this question
3117 views around the world
You can reuse this answer
Creative Commons License