Learn How to Graph the Sine Function with a Change in the Period

Learn How to Graph the Sine Function with a Change in the Period

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph y = 1/3 sin(x). It begins by discussing the general form of the sine graph and the role of the coefficient 1/3. The instructor then reviews the parent graph of the sine function, highlighting its period and x scale. The concept of amplitude is introduced, showing how the graph is compressed due to the 1/3 coefficient. Finally, the instructor demonstrates the graphing process, adjusting intervals to fit the new amplitude.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the initial period of the sine function and how it is represented on the graph.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the graph of y = 1/3 sine of X illustrate the concept of periodicity?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the amplitude in the context of the sine graph?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What effect does the coefficient 1/3 have on the amplitude of the sine graph?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the graph of y = 1/3 sine of X differs from the parent sine graph.

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