Graphing a Sine Function with a Transformation

Graphing a Sine Function with a Transformation

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to graph the sine function with a horizontal shift transformation. It begins by identifying the amplitude and period of the sine function, then demonstrates graphing the parent function. The tutorial proceeds to apply a horizontal shift, detailing the process of shifting the entire graph. Key points such as intercepts, maxima, and minima are identified after the transformation. The tutorial emphasizes careful placement of the y-axis and listing important graph parts.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the period of the sine function when 'b' is equal to 1?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the horizontal shift affect the graph of the sine function?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Summarize the steps to graph the sine function with transformations as described in the text.

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