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

Jun 7, 2018

See below

#### Explanation:

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

Consider the general equation of a sine function: $A \sin \left(B x\right)$

By definition, the amplitude of the function is $\left\mid A \right\mid$ and the period of the function is $\frac{2 \pi}{\left\mid B \right\mid}$

In this example, $A = 1 \mathmr{and} B = \frac{1}{2}$

Hence, the graph of $y$ is a standard sine curve with a period of $4 \pi$ as shown below.

graph{sin(x/2) [-7.9, 7.9, -3.95, 3.95]}