Transformations of trigonometric graphs

Transformations of trigonometric graphs

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers transformations of trigonometric functions, starting with a review of quadratic transformations. It explains the standard form of sine and cosine functions, focusing on the roles of parameters a, b, c, and d. The tutorial details how these parameters affect amplitude, vertical and horizontal shifts, and the period of the graph. The explanation includes comparisons to quadratic transformations, emphasizing the cyclical nature of trigonometric graphs and how to calculate the period using 2π divided by b.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the effect of the parameter 'c' on the graph of a trigonometric function?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the parameter 'b' influence the period of a trigonometric function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the overall transformations of trigonometric functions as presented in the text.

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