What is the amplitude of a trigonometric graph

The video tutorial explains the concept of amplitude as the half distance between the maximum and minimum values of a graph. It discusses how amplitude is represented by the absolute value of a factor and explores transformations of functions, particularly focusing on the sine function. The tutorial demonstrates how multiplying the sine function by different factors affects its graph, showing horizontal stretching and compression. The video concludes by summarizing the effects of amplitude on the graph and its representation.

What does amplitude represent in a graph?

How is the amplitude mathematically represented?

Describe the transformation of the function y = 1/2 X^2 compared to y = X^2.

What effect does multiplying a function by a factor have on its graph?

What happens to the sine function when it is multiplied by a factor of 2?

Explain how the amplitude of the sine function changes when multiplied by 1/2.

What is the relationship between the maximum and minimum values of a function and its amplitude?