1. TI-Nspire App Tutorial
Graphs of Absolute Value Functions

2. Summary
• In this tutorial, you’ll explore the graphs of
Absolute Value Functions. The steps in the
tutorial include:
– Creating a Graph Window.
– Graphing functions of these forms:
y = a | x |
y =| x - a |
y =| x | +a

3. Create a Graph Window
Click on the +tool to activate this menu.

4. Input the Function
By default the keyboard is active.

5. Input the Function
Input the function shown. Use the Absolute Value
button, shown at the right. Press Enter.
f1(x) =| x |

6. Graph the Function
This is the basic graph of the Absolute Value Function. Its
vertex is at the origin.

7. Edit the Function
Click on the + sign at the upper right to bring up the
Function Entry line. Then press the up arrow. You’ll see
f1(x).
Click
here.
Then
Click
here.

8. Edit the Function
Change the function to the one shown above. Then
press Enter. The orientation of the graph changes.
f1(x) = - | x |

9. Edit the Function
Now change the function to the one shown above.
Press Enter.
f1(x) =| 2x |

10. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how the sign changes the orientation.
f1(x) = - | 2x |

11. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how it is displaced along the x-axis.
f1(x) =| x -1|

12. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how it is displaced along the x-axis.
f1(x) =| x +1|

13. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how it is displaced along the y-axis.
f1(x) =| x | +1

14. Edit the Function
Now change the function to the one shown above.
Press Enter. Note how it is displaced along the y-axis.
f1(x) =| x | -1