Steps+to+Animate+Quadratic+Using+Geogebra

How to Animate a Quadratic Function with Geogebra

You need to be able to vary //a//, //b//, and //c// in //y// = //ax//2 + //bx// + //c//, so you want to create a slider for each parameter.

Create sliders: - Select the slider button (icon w/a = 2) and click anywhere in the graphing field. A window will open that will allow you to rename the slider (Geogebra automatically names objects in alphabetical order.), change the range for the values of the slider, and set the increment for the values. Once you’ve made any changes, hit apply. - Click and adjust the slider properties twice more to create sliders for //b// and //c//.

Create function w/graph: Now that //a//, //b//, and //c//, have been defined, you can define the quadratic function. In the input box, type f(x) = a*x^2 + b*x + c and hit enter. (NOTE: You must type the multiplication operation with variables. Geogebra will accept 4x but not ax.) The graph of the quadratic will then display.

Adjust/Use sliders: The graph may lie on top of one or more of your sliders. While the Move button (icon with single large arrow), is selected, you can adjust the position of any slider by clicking and dragging the slider **line**.

To use the sliders to show how changing the parameters changes the graph, click the Move button and click and drag the **point** on one of the sliders.

To animate any of the sliders, right click on the slider (click while holding down CTRL) and select Animation On. To change the speed of the animation or whether the slider oscillates or always travels in one direction, right click on the slider, select Properties, select Slider, and change the Animation settings. Close.

Adjust properties: You can change object color and display using the Properties window. (Right click on any object or any definition in the Algebra Window on the far left.) You can show/hide each object itself, show/hide each object’s name and/or definition, select a color for each object, and change each object’s style (thickness and solid versus dotted/dashed lines).

You can move the graphing window by selecting Move Drawing Pad (icon with 4 arrows), clicking anywhere on screen, and dragging. You can zoom in or out by clicking the small downward facing arrow under the Move Drawing Pad button, selecting zoom in/out, and clicking anywhere on the screen. To zoom in/out on only one axis at a time, select Move Drawing Pad, click on either the //x//- or //y//-axis and drag towards the origin to zoom out, away from the origin to zoom in. (This can also be done when the Move button is selected if you hold Shift while clicking the axes.)