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

Dec 3, 2017

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

#### Explanation:

$y = 3 \sin \left(\frac{x}{2}\right)$

$y = 3 \times \sin \theta$: where $\theta = \frac{x}{2}$

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

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