How do you determine the phase shifts for sine and cosine graphs

How do you determine the phase shifts for sine and cosine graphs

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers transformations of functions, focusing on horizontal and vertical shifts, and phase shifts in trigonometric functions. It explains how to calculate these shifts using equations and highlights the importance of understanding the period of trigonometric functions. The tutorial provides examples and emphasizes the cyclical nature of sine and cosine graphs.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the standard form equation of a quadratic function mentioned in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the graph of a function shifts when the equation is altered by a negative value.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the effect of a positive value of 'C' in the equation of a trigonometric function.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the variable 'B' represent in the context of trigonometric functions?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What happens to the sine and cosine graphs when a transformation is applied?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the initial period of a parent graph in relation to phase shifts?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the phase shift of a trigonometric function?

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