What are the importnat characteristics of the cosine graph

What are the importnat characteristics of the cosine graph

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial covers the characteristics of the cosine graph, including its amplitude, period, and transformations. It explains how to determine the amplitude as the half distance between the highest and lowest points, and the period as the distance for the graph to complete a cycle. The tutorial also discusses transformations, including reflections and shifts, and how to calculate the X scale and phase shift. Finally, it emphasizes the importance of understanding these concepts for graphing and solving problems related to trigonometric functions.

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4 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do transformations affect the cosine function compared to quadratics?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the amplitude and the absolute value of 'a' in the cosine function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the highest and lowest points on the cosine graph?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How does vertical translation affect the cosine graph?

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