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 the amplitude of a graph represent?

• The difference between the maximum and minimum values

• The total distance between the maximum and minimum values

• The half distance between the maximum and minimum values

• The average of the maximum and minimum values

What happens to the graph of y = X^2 when it is multiplied by 1/2?

• It becomes a horizontal compression

• It becomes a vertical compression

• It becomes a horizontal stretch

• It becomes a vertical stretch

How does multiplying a function by a factor affect its graph?

• It rotates the graph

• It shifts the graph vertically

• It changes the color of the graph

• It affects the graph's shape by stretching or compressing it

What is the value of 2 times sine of π/2?

• 2

• -1

• 1

• 0

When sine of X is multiplied by 1/2, what is the new maximum value?

• -1/2

• 0

• 1/2

• 1

What is the amplitude of the function 2 sine of X?

• 0

• 1

• 1/2

• 2

How does the graph of 1/2 sine of X differ from the original sine graph?

• It has a larger amplitude

• It has a smaller amplitude

• It is shifted upwards

• It has the same amplitude