What is the amplitude of a sinusoidal graph?

1 Answer
Jun 29, 2015

Answer:

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]}