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

Nov 18, 2016

The graph is inserted. The sine wave amplitude is 2 and the period is $4 \pi$. One full wave is in-between [-2pi, 0] and [0, 2pi]]

#### Explanation:

The period is $\frac{2 \pi}{\frac{1}{2}} = 4 \pi$, for one full wave.

For visual effect, choose one period as ^$x \in \left[- 2 \pi , 2 \pi\right]$.

The ends of this part are $\left[- 2 \pi , 0\right] \mathmr{and} \left[0 , 2 \pi\right]$

y ranges between $\pm \left(a m p l i t u \mathrm{de}\right) = \pm 2$.

graph{y=2 sin (x/2) [-10, 10, -5, 5]}