Search

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:
• Graph y = –| x + 2 |

•  My T-chart:
 ...and my graph:
• Graph y = –| x | + 2
•  My T-chart:
 ...and my graph:
• 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).
 Here's my T-chart:
 ...and here's my graph:

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

 Cite this article as: Stapel, Elizabeth. "Graphing Absolute-Value Functions." Purplemath. Available from     https://www.purplemath.com/modules/graphabs2.htm. Accessed [Date] [Month] 2016

Reviews of
Internet Sites:
Free Help
Practice
Et Cetera

Study Skills Survey

Tutoring from Purplemath
Find a local math tutor