How does the amplitude affect your sine and cosine graphs

The video tutorial explains how amplitude affects trigonometric graphs, focusing on the sine function. It begins with an introduction to amplitude and its role in graphing. The instructor graphs the sine function, highlighting its initial period and critical points. The concept of amplitude as the absolute value of 'a' is discussed, showing how it influences the graph's vertical stretch or compression. Examples with different amplitudes, both greater and less than 1, are provided to illustrate these effects. The tutorial concludes by summarizing the impact of amplitude on sine and cosine graphs.

What is the maximum value of the parent sine function?

• 0

• 1

• π

• 2

How does the graph of y = 2sin(x) differ from the parent sine graph?

• It has a smaller amplitude.

• It has a larger amplitude.

• It has a different period.

• It shifts horizontally.

What happens to the sine graph when the amplitude is negative?

• The period changes.

• The graph becomes a straight line.

• The graph reflects over the x-axis.

• The graph shifts upwards.

If the amplitude of a sine function is less than one, what is the effect on the graph?

• The graph stretches vertically.

• The period increases.

• The graph compresses vertically.

• The graph shifts horizontally.

Which of the following does not affect the critical points of a sine graph?

• Amplitude

• Vertical shift

• Phase shift

• Period