[size=100]Let’s try out a more dynamic way of exploring the impact of a parameter on a quadratic polynomial [font=Courier New]f(x) = a * x^2 + b [/font]by using sliders to modify the parameter values.[/size]

[table] [tr] [td][size=100]1.[/size][/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][center][/center][/td] [td][size=100]Create a variable [font=Courier New][code]a = 1[/code][/font].[/size][/td][/tr] [tr] [td][size=100]2.[/size][/td] [td][center][img]https://wiki.geogebra.org/uploads/thumb/4/4d/Algebra_hidden.png/32px-Algebra_hidden.png[/img][/center][/td] [td][size=100]Display the variable [i]a[/i] as a slider in the [i]Graphics View[/i].[br][u]Hint[/u]: Click on the [i]Show / Hide[/i] icon next to number [i]a[/i] in the [i]Algebra View[/i]. Change the slider value by dragging the appearing point on the line with the mouse.[/size][/td][/tr][tr] [td][size=100]3.[/size][/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][br][/td] [td]Enter the quadratic polynomial [font=Courier New][code]f(x) = a * x^2[/code][/font].[br][u]Hint[/u]: Don’t forget to enter an asterisk [code]*[/code] or space between [i]a[/i] and [i][code]x^2[/code][/i].[br][/td][/tr] [tr] [td][size=100]4.[/size][/td] [td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][br][/td] [td][size=100]Change the slider value to [i]a = 2[/i] by dragging the point on the line and watch how this influences the function graph.[br][/size][/td][/tr] [tr] [td][size=100]5.[/size][/td] [td][size=100][icon]/images/ggb/toolbar/mode_slider.png[/icon][/size][/td] [td][size=100]Create a slider [i]b[/i] using the [i]Slider[/i] tool.[br][u]Hint[/u]: Activate the tool and click on the [i]Graphics View[/i]. Use the default settings and select [i]Apply[/i].[/size][/td][/tr] [tr] [td][size=100]6.[/size][/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/120px-Menu_view_algebra.svg.png[/icon][/td] [td][size=100]Enter the polynomial [font=Courier New][code]f(x) = a * x^2 + b[/code][/font].[br][u]Hint[/u]: GeoGebra will overwrite the old function [i]f[/i] with the new definition.[/size][/td][/tr][tr] [td][size=100]7.[/size][/td] [td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td] [td][size=100]Change the values of sliders [i]a[/i] and [i]b[/i] and explore, how this affects the graph of the new polynomial.[/size][/td][/tr][/table]