Question

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

Answer 1

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=sinx` from `(-2pi, 2pi)`

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

Now let's bring in the `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=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]}