How to Graph the Sine Graph with Period Change

How to Graph the Sine Graph with Period Change

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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The video tutorial explains how to graph the function F(x) = sin(x/3). It covers the standard form of trigonometric graphs, focusing on the importance of amplitude and period. The tutorial details how to calculate the period and identify critical points, such as maximum, minimum, and x-intercepts. It also discusses the absence of phase shifts and vertical translations in this specific function. Finally, the video demonstrates graphing the sine function, highlighting the critical points and the behavior of the graph over two full periods.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the period of the function F of X equals sine of X / 3?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What are the maximum and minimum values of the sine function in the context of this graph?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of graphing the function F of X equals sine of X / 3, including the steps taken.

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