Graphing Sine and Cosine Transformations


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question 1 of 3

Which of the following graphs represents y = 2cos(x)?

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1. Which of the following graphs represents y = 3sin(2x)?

2. What is the period of y = sin(6x)?

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About This Quiz & Worksheet

The quiz will present you with a number of graphical representations of these trig functions. They will then ask you to identify the correct graph. Some other questions will ask you about the properties of a given function.

Quiz & Worksheet Goals

Use what you know about sine and cosine transformations to identify:

  • Graphs of these functions
  • The period of a function
  • The amplitude of a function

Skills Practiced

The test will help you with these skills:

  • Making connections- use understanding of sine and cosine transformations to identify which graph represents a given function
  • Knowledge application- use your knowledge to answer a question that asks you to find the amplitude of a given function
  • Problem solving- use acquired knowledge to solve a practice problem that asks you to find the period of a given function

Additional Learning

Complete the quiz and head over to our corresponding lesson entitled Graphing Sine and Cosine Transformations. The lesson will help you with the following topics:

  • Exploring the graphs of sine and cosine
  • Defining amplitudes
  • Understanding periods
  • Examining how amplitude and period transform graphs
  • Describing phase shifts