Master Graphing Cosine with a change in the Period

The video tutorial explains how to graph the cosine function when there are changes in the period and amplitude. It covers two examples: y = cos(2x) and y = 1/2 cos(π/3 x). The tutorial details the process of identifying amplitude and period, and how to adjust the graph accordingly. It also explains the importance of critical points and how to scale the graph. The video concludes with a demonstration of graphing two periods of the cosine function with different parameters.

What is the amplitude of the cosine function when graphed as y = cosine of 2X?

How does the period of the cosine function change when the function is expressed as y = cosine of π/3 X?

What is the significance of the amplitude in the context of the cosine function?

How do you calculate the period of a cosine function when given the value of B?

Explain how to identify the critical points of the cosine function graph.

What is the process to determine the X scale when graphing a cosine function?

Describe how to graph the function y = 1/2 cosine of π/3 X.