Transformations of Radical Functions


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question 1 of 3

The equation of the function in red is y = the square root of x. Which of the following could possibly be the equation of the function in green?

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1. Compared to the graph of y = the square root of x, the graph of y = the square root of (x + 3) will do which one of the following?

2. Will the domain of y = the square root of (x - 2) be the same as the domain of y = the square root of x?

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About This Quiz & Worksheet

Radical functions contain some type of radical, such as a square root or a cubic root. Quiz questions will focus on graphing radical functions and how different changes affect graphing.

Quiz & Worksheet Goals

These assessments will ask you about:

  • How to identify radical functions on a graph
  • The method for determining if domains are the same
  • The differences in graphs when the square roots are different
  • Vertical compressions

Skills Practiced

  • Making connections - use your understanding of adding and subtracting values to determine the changes that will be shown on the graph
  • Information recall - access knowledge regarding vertical compressions of functions
  • Knowledge application - apply knowledge about domains to determine if example problems will be the same or different

Additional Learning

By reviewing the lesson titled Transformations of Radical Functions, students will have the opportunity to enhance their knowledge on:

  • Four different types of transformations
  • Numerical limitations with the square root sign
  • Dividing something and multiplying by a fraction