Graph the Cotangent Function with a Phase Shift and Change in Period

Graph the Cotangent Function with a Phase Shift and Change in Period

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Wayground Content

FREE Resource

The video tutorial explains how to graph the function f(x) = cotangent(π/4x + 3π/4). It covers the transformations involved, such as period, phase shift, and vertical translation, and provides a step-by-step guide to graphing the function. The tutorial emphasizes understanding the transformations and applying them to the cotangent function, ensuring the graph maintains its shape while adjusting for phase shifts and other changes.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the transformation form of the cotangent function as described in the text?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the amplitude in the context of the cotangent function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the variable B affect the period of the cotangent function?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the process of determining the phase shift for the function mentioned in the text.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the key characteristics of the cotangent graph without transformations?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

How do transformations affect the shape of the cotangent graph?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe how to find the X intercept and asymptote for the cotangent function.

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