Rotate a function around the y-axis to create a surface.[br][br]Explore the construction and explore how to rotate a function with [i][url=https://www.geogebra.org/3d]GeoGebra 3D Calculator[/url][/i]. Then try it yourself by following the instructions below.

[b]Note:[/b] In the Mobile App, the option y[i]-axis is vertical [/i]isn't available yet. Just skip this first step and your construction will be rotated by 90°.[br][br][table][tr][td]1.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/d2/Ic_settings_black.svg/32px-Ic_settings_black.svg.png[/img][/td][td]In the [i]Settings[/i] select tab [i]Basic[/i] and activate the checkbox next to [i]y-axis is vertical[/i]. You can also change the size of the clipping box on this tab. Go back and open the [i]Settings[/i] again to hide the plane and show the grid.[br][/td][/tr][tr][td]2.[/td][td][/td][td]To create a function with a restricted domain enter [math]f\left(x\right)=-x\ast\left(x-5\right),0\le x\le5[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]3.[/td][td][/td][td]Type [math]n[/math] into the next row and press [i]Enter [/i]to create a slider[i].[/i] Now change the domain to [math]0\le n\le2pi[/math] and the step to [math]\frac{pi}{180}[/math]. For these changes select the [i]More [/i]button next to the slider and choose[i] Settings. [/i][/td][/tr][tr][td][/td][td][/td][td][b]Note: [/b]In the Online App switch to tab [i]Slider [/i]to change these values. Another way is to select the min/max value of the slider in the [i]Algebra View [/i]to make these changes.[br][/td][/tr][tr][td]4.[/td][td][/td][td]Enter the [i]Command[/i] [math]Surface\left(f\left(x\right),n,xAxis\right)[/math] into the [i]Input Bar[/i].[/td][/tr][tr][td]5.[/td][td][/td][td]Change the value of the slider and explore your construction.[br][b]Note:[/b] Activate the [img]https://wiki.geogebra.org/uploads/thumb/e/e8/Nav_play_circle.svg/16px-Nav_play_circle.svg.png[/img] [i]Play [/i]button next to the slider to animate your construction.[/td][/tr][tr][td]6.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/d/d2/Ic_settings_black.svg/32px-Ic_settings_black.svg.png[/img][/td][td][b][/b]Select [i]Settings[/i] to discover different [i]Projections[/i]. [br][/td][/tr][/table]

If you're using [i]GeoGebra 3D Calculator [/i]on a mobile device you can switch to [i]AR mode[/i] to place your created math objects on any flat surface (e.g. table, floor, ...) around you and walk around them. Explore your constructions from a new perspective!