Question

How do you graph `y=6sinx`?

Answer 1

The amplitude is 6 and the period is 2π.

Explanation:

The number that comes before sin is going to be your amplitude. Your wave will go up 6 and down 6 as you can see in the graph. You determine the period by using 2π/x, which comes out to just 2π.

A full period for sin is one wave above and one wave below the x-axis. You divide 2π into four parts and that is your wave. π/2, π, 3π/2, and 2π are your points.

Be sure that you are memorizing the unit circle to make figuring out the points easier.