Example Activity

Explore the Function Y=AX2+BX+C

Use this activity to learn the basics the Transformation Graphing App.

Note: Reset the calculator defaults (y L 7:Reset..., 2:Defaults..., 2:Reset) before this performing this activity.

1. Press Œ.
2. Choose Transfrm.
3. Read the message on the splash screen.
4. Press any key to dismiss the splash screen.

5. In Func mode, press o to display the Y= editor.
6. Press to clear Y1.
7. To quickly paste the function Y1=AX2+BX+C, press | | [enter] to launch the line style spinner.
8. Press and then ~ to the desired function.
9. Select OK and press [enter].

Note: The color/line style spinner dialog also lets you select the animation of the transform graph. Play-Pause 3 will allow you to control the animation of the graph using the arrow keys on the graph screen.

 

Tip: If you enter a function using the keypad, only A-D are allowed in transform equations Y1 and/or Y2. Those letters can be found using the ƒ key. For example, to enter the coefficient A, press ƒ [A] (above the » key).

 

10. Press q 6 to select 6:ZStandard. The graph screen displays automatically. The selected Y= function and the current values of the coefficients A, B, and, C display on the screen. The values of A, B, and C may be different on your calculator.

11. Press ~ to increment the value of A by the Step value (1) from 1 to 2. The graph is redrawn automatically, showing the effect of increasing the coefficient of X by step size 1 as set in the SETTINGS ([SETUP]) menu.

If the coefficient A is not selected, press until the = sign for A is highlighted.

12. Press to highlight the = sign for B. Press ~ several times (pausing briefly each time as the graph is redrawn) to observe the effect of increasing the value of B.

Tip: Press [SETUP] (b) on the graph screen to display the SETTINGS menu.

Select TrailOn to leave a dotted graph each time you change or animate a coefficient. Default is TrailOff. TrailOff and TrailOn are also available in y ..

The play 1 and play fast 2 settings allow you to create animated slide show of the graph transforming by one selected parameter. The parameter values for A-D can be entered in SETTINGS as long as they are used in Y1 and/or Y2.

The Step value determines the increment of the parameter value. The Max value is the upper bound of the parameter expected in the animation.

Example: Y1=AX

In SETTINGS, let A=1, Step = 2, and Max = 10. Five screens will be created to animate the graph for A = 1, 3, 5, 7, 9. Note 9 < 10 = Max.

There can be up to 13 screens created for the animation. A memory error will be given if the Step and Max request more than 13 screens for the animation. To continue, press p and press } to SETTINGS. Modify the Step or Max value to remain within the 13 screen limit.

Note: Enter a quadratic function in vertex form to graph in Y3. Try to match Y1 to the graph of Y3!