How to Determine the Amplitude and Period of a Graph

How to Determine the Amplitude and Period of a Graph

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains how to determine the amplitude and period of a trigonometric function. It uses the example of y = -3/2 * cos(πx/2) to illustrate the process. The amplitude is found by taking the absolute value of the coefficient of the cosine function, resulting in 3/2. The period is calculated by considering the coefficient of x, which involves dividing 2π by π/2, simplifying to a period of 4. The tutorial emphasizes understanding the impact of each parameter on the graph of the function.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the absolute value of 'a' in determining the amplitude?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the coefficient of X affects the period of a trigonometric function.

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