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How to Graph 1 cos 2x: Steps & Tutorial

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question 1 of 3

The graph of a cosine function shows a maximum value of 5 and a minimum value of -5. What is the amplitude?

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1. The graph of a cosine function shows a maximum value of 5 at 0 degrees rotation. It has this value again at 120, 240, and 360 degrees. What is the period for this function?

2. What is the amplitude and period of y=cos(2x)?

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About This Quiz & Worksheet

In this quiz/worksheet combo, you'll find a series of multiple-choice questions designed to test your knowledge of how to graph 1 cos 2x. When you answer these questions, you'll be asked about the period of an example cosine function and the amplitude and period of y=5cos(3x), among related concepts.

Quiz & Worksheet Goals

Use this quiz to see how well you know:

  • The amplitude of a graph of a cosine function that shows a max value of 5 and a min value of -5
  • The period of an example cosine function
  • What the period and amplitude of y=cos(2x) is
  • The amplitude and period of y=5cos(3x)
  • Which function from a list of examples has an amplitude of 1 and a period of 180 degrees

Skills Practiced

  • Reading comprehension - ensure that you draw the most important information from the related lesson about graphing 1 cos 2x, such as how to find the period and amplitude of functions based on their graphs
  • Information recall - access the knowledge you've gained regarding how you'd calculate the amplitude of a graph of a cosine function that shows a maximum value of 5 and a minimum value of -5
  • Interpreting information - verify that you can read information regarding the amplitude and period of cosine functions and interpret it correctly

Additional Learning

If you would like to learn more about this subject, check out our short lesson called How to Graph 1 cos 2x: Steps & Tutorial at any time. After completing this lesson, you should be ready to:

  • Detail the connection between cosines and engines
  • Define 'amplitude' and 'period'
  • Explain what you need to know in order to be able to graph sine and cosine functions
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