# How do you graph y=sin(1/4x)?

Start with the basic sine graph, then expand it by a factor of 4

#### Explanation:

With any question regarding graphing, we should first know the basic shape of the function. This is $y = \sin x$ from $\left(- 2 \pi , 2 \pi\right)$

graph{sinx [-6.25, 6.25, -1.1, 1,1]}

Now let's bring in the $\frac{1}{4}$. What will that do to the function? It means that for any value, say $x = \pi$, it will be evaluated as if it was $x = \frac{\pi}{4}$ and so it will expand the period of the function by a factor of 4, like this:

graph{sin(x/4) [-6.25, 6.25, -1.1, 1,1]}