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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
       
  •   
    The T-chart:

      

    T-chart

      

      

      

    ...and the graph:

      

    y = abs(x) + 2

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

      

    T-chart

       

      

    ...and the graph:

      

    y = -abs(x + 2)

  • Graph y = –| x | + 2
      Copyright © Elizabeth Stapel 2006-2008 All Rights Reserved
  •   
    The T-chart:

      

    T-chart

      

      

    ...and the graph:

      

    y = -abs(x) + 2

  • Graph y = | x2 – 3x – 4 |
       
  •   

    Without the absolute value, the quadratic looks like this:

     

     

     

     

     

     

    The absolute value will flip that negative part (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 the T-chart:

      

     
    T- chart

      

      

      

    ...and here's the 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
    http://www.purplemath.com/modules/graphabs2.htm. Accessed
 

 

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