Transformations of the 1/x Function


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If you wanted to take the graph of y = 1/x and move it three units upward on the y-axis without changing its shape or anything else about it, what would be the equation of your new graph?

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1. Consider the function f(x) = 1/(x - 2). This is the function 1/x shifted…


Compare the two functions:

A: f(x) = 3/x

B: f(x) = 5/x

These two functions are graphed in the picture. Which line represents which function?

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About This Quiz & Worksheet

In our quiz and worksheet, you'll find multiple-choice questions that ask you about the transformations of the 1/x function. Check your knowledge of topics including practice identifying an example function on a graph and what happens when you multiply the bottom of a fraction in an example function.

Quiz & Worksheet Goals

In the quiz, you will answer practice problems focused on:

  • What the new equation of your graph would be if you wanted to move it three units upward on the y-axis while retaining its shape
  • How the function 1/x is shifted in comparison to another function
  • How to identify a function
  • What happens when you multiply the bottom of a fraction by -2
  • How to compare the shapes of two different graphs

Skills Practiced

  • Information recall - access the knowledge you've gained regarding how to identify a function on an example graph
  • Reading comprehension - ensure that you draw the most important information from the related lesson on the transformations of the 1/x function
  • Knowledge application - use your knowledge to answer questions about comparing the shapes of two different graphs

Additional Learning

Our lesson called Transformations of the 1/x Function is a helpful way to learn more about this topic at your own pace. After finishing this lesson, you should be ready to:

  • Explain what a decreasing function is
  • Give an example of a decreasing function
  • Define what an asymptote is and how many exist in the 1/x function