Graphing the Cosine Curve with a Period Shift

Graphing the Cosine Curve with a Period Shift

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to analyze and graph the function F(x) = 2cos(x + π). It covers finding the amplitude and period, determining critical points, and graphing the function with transformations. The tutorial also compares the transformed graph with the parent cosine function, highlighting changes in amplitude and starting points.

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3 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the critical points of the cosine function and their significance.

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What transformations occur when the amplitude of a cosine function changes from 1 to 2?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How does the starting point of the graph change when the function is modified?

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