Graphing Cotangent with a Phase Shift and Vertical Translation

Graphing Cotangent with a Phase Shift and Vertical Translation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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Quizizz Content

FREE Resource

The video tutorial explains how to graph the cotangent function y = 2 cotangent(X - π/2) - 1. It covers determining the period, identifying critical points like intercepts and asymptotes, and understanding transformations such as phase shifts and vertical translations. The tutorial provides a step-by-step guide to graphing the function, highlighting the effects of transformations on the graph's shape and position.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the initial period of the cotangent graph?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the critical points of the cotangent graph?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does the coefficient '2' in front of the cotangent function indicate?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do transformations affect the cotangent graph?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you determine the phase shift of the cotangent graph?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the effect of the transformation '-1' on the cotangent graph.

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of graphing the cotangent function based on the transformations discussed.

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