Graphing the Cosine Function with a Change in the Period

Graphing the Cosine Function with a Change in the Period

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to graph the function X equals cosine of 2X. It begins by reviewing the parent cosine graph, emphasizing the importance of understanding its amplitude and period. The tutorial then explores how the transformation affects the graph's amplitude and period, and identifies the critical points by dividing the period by four. The instructor demonstrates how to adjust the graph for the transformation and set up the axes, concluding with a complete graph of the cosine function of 2X.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of dividing the period by 4 when finding critical points?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to graph the cosine function of 2X based on the initial graph of cosine.

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