Graph a sine Function with a Horizontal Translation

Graph a sine Function with a Horizontal Translation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains the properties of the sine graph, including its period, amplitude, and key points like X intercepts, minimum, and maximum. It discusses how the graph remains unchanged when amplitude and period are not altered. The tutorial then focuses on horizontal translations, explaining how to determine new endpoints by setting the function equal to 0 and 2π. An example is provided to illustrate shifting the graph π units to the right. The tutorial concludes by summarizing the process of graph transformations, emphasizing the importance of understanding horizontal translations.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when the graph is shifted π units to the right?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find new endpoints after a horizontal translation.

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