Draw a freehand function and create different transformations of your function.[br][br]Explore the construction and learn how to do transformations with [i][url=https://www.geogebra.org/graphing]GeoGebra Graphing Calculator[/url][/i]. Then try it yourself by following the instructions below.

[table][tr][td]1.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_freehandshape.png[/icon][/td][td]Open the [i]Tools View[/i]. Choose the [i]Freehand Function [/i]tool.[/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_freehandshape.png[/icon][/td][td]Select the [i]Freehand Function [/i]tool and draw a function. The function will automatically be named [i]f(x)[/i] and displayed in the [i]Algebra View[/i].[/td][/tr][tr][td]3.[/td][td][/td][td]Enter [math]f(x)+2[/math] into the [i]Input Bar [/i]of the [i]Algebra View[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide the new function.[/td][/tr][tr][td]4.[/td][td][/td][td]Enter [math]f(x-2)[/math] into the [i]Input Bar[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide it.[/td][/tr][tr][td]5.[/td][td][/td][td]Enter [math]f(-x)[/math] into the [i]Input [/i][i]Bar[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide it.[/td][/tr][tr][td]6.[/td][td][/td][td]Enter [math]-f(x)[/math] into the [i]Input [/i][i]Bar[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide it.[/td][/tr][tr][td]7.[/td][td][/td][td]Enter [math]f(2x)[/math] into the [i]Input [/i][i]Bar[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide it.[/td][/tr][tr][td]8.[/td][td][/td][td]Enter [math]f(0.5x)[/math] into the [i]Input [/i][i]Bar[/i]. Explore the graph of the new function in relation to [i]f(x)[/i]. Select the enabled [i]Visibility [/i]button on the left of the function to hide it.[/td][/tr][tr][td]9.[/td][td][/td][td]Rotate your freehand function [i]f(x) [/i]by [i]90°[/i] using the command [math]Rotate\left(f,\frac{pi}{2}\right)[/math].[/td][/tr][tr][td]10.[/td][td][/td][td]Rotate your freehand function [i]f(x) [/i]by [i]n°[/i] using the command [math]Rotate(f,n)[/math]. A slider for [i]n[/i] will be created automatically. Move the slider to explore the rotation.[br][/td][/tr][/table]