Master Graphing Cosine with a change in the Amplitude

The video tutorial explains how to graph cosine functions with changes in amplitude. It begins with an introduction to cosine graphs and the concept of the initial period. The tutorial then delves into understanding amplitude, explaining how it affects the graph's maximum and minimum points. The instructor demonstrates graphing a cosine function with an amplitude of 2, showing how the graph stretches vertically. Finally, the tutorial covers graphing with an amplitude of -1/2, highlighting the reflection over the X-axis and vertical compression.

Explain the significance of the parent graph of cosine.

What is the definition of amplitude in the context of a cosine graph?

How does the amplitude affect the maximum and minimum points of the cosine graph?

How does the period of the cosine graph remain unchanged despite changes in amplitude?

What happens to the cosine graph when the amplitude is set to 2?

Describe the process of graphing a cosine function with an amplitude of -1/2.

What is the effect of a negative amplitude on the cosine graph?