How do you graph y=sin2x?

1 Answer
Aug 9, 2018

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]}