Parameters of a Quadratic Polynomial

[size=100]Learn how to create sliders to control a quadratic polynomial.[/size]
Step 1: Try out the GeoGebra applet
[size=100]Change the values of the sliders in order to explore how the parameters affect the quadratic polynomial.[/size]
Step 2: Watch the tutorial video

Invalid video URL: Link einfügen

Step 3: Create the construction yourself
Construction Steps
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_slider.png[/icon][/size][/td][td][size=100]Use the [i]Slider[/i] tool in order to create three sliders [i]a[/i], [i]b[/i] and [i]c[/i] using the default settings of sliders.[br][/size][/td][/tr][tr][td][br][/td][td][br][/td][td][size=100][u]Hint[/u]: After clicking on the [i]Graphics View[/i], a window appears allowing you to specify the parameters of your slider. Click [i]Apply[/i] in order to close the window and create a slider.[/size][br][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Use the [i]Move[/i] tool in order to set the sliders to the following values: [i]a [/i]= 1, [i]b[/i] = 0, [i]c[/i] = 0.[/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][/size][/td][td][size=100]Enter [font=Courier New]f(x)= a x^2 + b x + c[/font] in the [i]Input Field[/i] and hit the Enter key.[/size][/td][/tr][/table][size=100][br][/size]
[size=100]Explore how the parameters [i]a[/i], [i]b[/i] and [i]c[/i] influence the graph of the quadratic polynomial function. [br][br][u]Hint[/u]: Select the [i]Move[/i] tool and drag the sliders in order to do so. Try to find the quadratic polynomial that intersects the x-axis at [i]-3[/i] and [i]-1[/i], as well as the y-axis at [i]1.5[/i].[/size]