Question

How do you graph `y=sin2x`?

Answer 1

Below

Explanation:

When written in the form `y=asin(nx+b)+c` where
`a` is the amplitude
`n` is used to find the period of the function
`b` is to find the shift to the left or right by `b` units
`c` is to find the shift upwards or downwards by `c` units

Looking at `y=sin2x`, it is clear that:
`a=1`
`b=0`
`"period"=(2pi)/n=(2pi)/2=pi`
`c=0`

Therefore, `y=sin2x` is basically the `y=sinx` graph but instead of having a period of `2pi`, it has a period of `pi`. So what that means is that in `y=sin2x`, you will see two `sinx` graphs occurring.

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