Graphing the Cosine Function with a Phase Shift

The video tutorial explains how to graph a transformed cosine function. It covers determining the amplitude, period, and critical points, and discusses the effects of transformations such as phase shifts and reflections. The tutorial provides a step-by-step guide to constructing the graph, highlighting key points and intervals, and concludes with a demonstration of graphing in both positive and negative directions.

What is the amplitude of the function discussed in the text?

How is the period of the function determined?

What are the critical points of the function and how are they calculated?

Explain how the transformations affect the start and end points of the graph.

What is the significance of the negative cosine in the graph?

Describe the process of graphing the function with the given transformations.

How do you determine the critical points when the initial point is π/4?