Question

How do you find the amplitude and period of `y=3 cos pi x`?

Answer 1

Amplitude is 3 units and period is 2 radians.

Explanation:

For any general cosine function of the form `y=AsinBx`,
A represents the amplitude, ie the maximum displacement from the x-axis, and the period is given by `T=(2pi)/B` and this represents the number of radians required for a full cycle of the graph.

So in this case, the amplitude is 3 and the period is 2.

Graphically :

graph{3cos(pix) [-10, 10, -5, 5]}