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Graphing Absolute-Value Functions (page 2 of 2)

Here are some more examples, with just the T-charts and graphs:

  • Graph y = | x | + 2
    I'll fill in my T-chart, making sure to pick some negative
    x-values as I go:






    Then I'll draw my dots and fill in the graph:


    y = abs(x) + 2

  • Graph y = | x + 2 |
    My T-chart:





    ...and my graph:


    y = -abs(x + 2)

  • Graph y = | x | + 2
      Copyright Elizabeth Stapel 2000-2011 All Rights Reserved
    My T-chart:





    ...and my graph:


    y = -abs(x) + 2

  • Graph y = | x2 3x 4 |

    Without the absolute-value bars, the graph of the quadratic looks like this:







    The absolute-value bars will flip that negative part of the graph (the part in the middle, below the x-axis) up into the positive values (above the x-axis).


    y = x^2 - 3x - 4


    Here's my T-chart:


    T- chart




    ...and here's my graph:


    y = abs(x^2 - 3x - 4)

With these graphs, when in doubt, plot more points!

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Cite this article as:

Stapel, Elizabeth. "Graphing Absolute-Value Functions." Purplemath. Available from Accessed


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