Question

What is the amplitude of a sinusoidal graph?

Answer 1

It is one-half of the difference between the maximum and minimum values of `y`.

Explanation:

Example: `y=-7sin(3x-2) + 4` has a maximum of `11` and a minimum of `-3`.
The amplitude is `1/2(11-(-3)) = 1/2(14) =7`

Note that the amplitude is the absolute value of the coefficient of `sin(3x-2)`.

Here is the graph of the example:

graph{y=-7sin(3x-2) + 4 [-20.15, 20.4, -7.78, 12.5]}