How to Graph Transformations on the TI-84 Plus

The Transformation Graphing application on the TI-84 Plus graphing calculator graphs transformations in three different ways called play types: Play-Pause (>||), Play (>), and Play-Fast (>>). The symbols next to these play types are the symbols used by Transformation Graphing to indicate the play type on the calculator screen. The second two play types, Play and Play-Fast, are used to display a slide show of your transformations.

Play-Pause graphs a function and then waits for you to prompt the application to graph a transformation of that function. Without leaving the graphing screen, you can enter a new value for any variable in the definition of the function or you can increment the variable by a predefined step size.

To graph a function and investigate its transformations using the Play-Pause play type, follow these steps:

  1. Press [Y=] and highlight the equal sign of the function you plan to graph.

    image0.jpg

    Transformation Graphing can graph only one function at a time. The function whose equal sign is highlighted is the function that will be graphed. Here, Y1 will be graphed. To graph a different function, use the arrow keys to place the cursor on the equal sign of that function and press [ENTER] to highlight its equal sign.

  2. Access the Settings editor and highlight Play-Pause, the first play type.

    image1.jpg

    Access the Settings editor with

    image2.png

    The first line of the Settings editor contains the symbols for the three play types: Play-Pause (>||), Play (>), and Play-Fast (>>). The second two, Play and Play-Fast, are used to display a slide show of your transformations.

    If the first play type is not highlighted, use the arrow keys to place the cursor on the >|| symbol and press [ENTER] to highlight it.

  3. Enter the initial values of your variables A, B, C, and/or D.

    Only the variables used in the definition of a function would appear in the Settings editor.

    To assign a value to a variable, use the arrow keys to place the cursor after the equal sign of the variable, use the number keys to enter its value, and then press [ENTER]. You may enter the value as an arithmetic expression. When you press [ENTER], the calculator evaluates that expression.

  4. Highlight the equal sign of the variable that you want to investigate.

    To highlight the equal sign, use the arrow keys to place the cursor on the equal sign and press [ENTER] to highlight it. Transformation Graphing allows you to investigate only one variable at a time, so only one equal sign will be highlighted.

  5. Enter a value for Step, the step size.

    Each time you tell the calculator to graph a transformation, it will increment the chosen variable by this specified step size and graph the resulting function.

  6. Graph the function.

    image3.jpg

    You graph the function the same way you graph a normal function. You either define the variables in the Window editor and press [GRAPH], or you use one of the Zoom commands. The values of the variables defining the function appear in the lower-left corner of the graph.

  7. Graph a transformation of the function.

    To graph a transformation of the function, press

    image4.png

    or

    image5.png

    or enter a new value for one of the variables, and then press [ENTER].

    Each time you press

    image6.png

    the value of Step is added to the variable with the highlighted equal sign and the transformation of the graph is drawn. When you press

    image7.png

    the value of Step is subtracted from that variable and the transformation of the graph is drawn.

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