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?

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How is the period of the function determined?

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

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

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

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

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

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