Trigonometric Phase Shifts

Trigonometric Phase Shifts

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the shifts in trigonometric functions, focusing on phase and vertical shifts. It introduces the six basic trigonometric functions and describes how to shift their graphs horizontally and vertically. The tutorial details the components of a trigonometric function, specifically amplitude, frequency, phase shift, and vertical shift, with a focus on phase and vertical shifts. Examples illustrate how to apply these shifts to sine and cosine functions, demonstrating the effects on their graphs.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the graph of a sine function when the phase shift is positive?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to rewrite a trigonometric function to identify its phase shift.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How can vertical shifts be represented in the function of a trigonometric graph?

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