# What are the important points to graph y=sin (x/2)?

May 11, 2018

Below

#### Explanation:

Important points to remember:

For sine graphs, its general form is $y = a \sin \left(n x + b\right)$
where a=amplitude
n= used to help calculate your period$\left(T = \frac{2 \pi}{n}\right)$

1. Calculate the amplitude
2. Find the period of the function
3. Check to make sure whether you need to shift the graph up or down, left or right
4. See if you need to flip the graph on its x-axis or y-axis
5. Label your graph if it meets your x or y axis
6. Write down the equation of your graph
So for your $y = \sin \left(\frac{x}{2}\right)$
Your period is $\frac{2 \pi}{\frac{1}{2}} = 4 \pi$