The [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Graphing Perspective[/i] includes the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i] and the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. By default, the [img]https://wiki.geogebra.org/uploads/thumb/7/7d/Stylingbar_graphicsview_show_or_hide_the_axes.svg/16px-Stylingbar_graphicsview_show_or_hide_the_axes.svg.png[/img] [i]coordinate axes[/i] are shown and the [i]Graphics View Toolbar[/i] is displayed at the top of the [i]GeoGebra Classic [/i]app[size=100], with the [img]https://wiki.geogebra.org/uploads/thumb/3/38/Menu-edit-undo.svg/16px-Menu-edit-undo.svg.png[/img] [size=100][size=100][img]https://wiki.geogebra.org/uploads/thumb/8/85/Menu-edit-redo.svg/16px-Menu-edit-redo.svg.png[/img][/size][/size] [i]Undo / Redo[/i] buttons in the top right corner.[/size]
In the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i] you can directly enter algebraic expressions using the [i]Input Bar[/i]. After hitting the [i]Enter [/i]key your algebraic input appears in the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View.[br][br][/i][b]Note:[/b] At the same time, the corresponding graphical representation is automatically displayed in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i].[br][br][b]Example:[/b] The input [math]y=2x+3[/math] gives you the linear equation in the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i] and the corresponding line in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i].
Get in touch with the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Graphing Perspective[/i] by following the instructions below.
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Click into the [i]Input Bar[/i], enter [math]f\left(x\right)=0.5x+1[/math] and press [i]Enter[/i].[br][/size][/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]Activate the [i]Move[/i] tool and select the function in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. Open the [size=100][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/16px-Stylingbar_icon_graphics.svg.png[/img] [i]Style Bar[/i][/size] and select [img width=20,height=20]https://lh6.googleusercontent.com/oKmfISp_VWciZtnxqRxe1WLfkZJdwua5SX2KCWj7IljZrORlh8JU9WuEJlfs1DcFiNys1GuZ-QOBmx72LIBrujP46hFziSTUl4E1vuy1PzvE2Y8ab9FOiwxrRzLoutmTldKfv9aJ[/img] to unfix the function and to be able to drag the function. [br]Explore how the parameters of the function in the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i] change when dragging [i]f(x)[/i].[br][/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][/size][/td][td][size=100][size=100][size=100]Enter the quadratic function [math]g\left(x\right)=x^2-1[/math] into the [i]Input Bar [/i]and press [i]Enter[/i].[/size][/size][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][/size][/td][td][size=100][size=100]Enter [math]Intersect\left(f\left(x\right),g\left(x\right)\right)[/math] into the [i]Input Bar [/i]and press [i]Enter[/i].[/size][/size][/td][/tr][tr][td][size=100][/size][/td][td][size=100][/size][/td][td][size=100][b][/b][size=100][b]Hint:[/b] This command yields the intersection points of the two functions. [br]The points are displayed in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] as well as in the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i].[/size][/size][/td][/tr][tr][td][size=100]5.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100][size=100]Select the [i]Move[/i] tool and drag the linear function. [br]How do the [/size][size=100]intersection points change?[br][/size][/size][/td][/tr][/table]
If you want to hide the algebraic representation of an object in the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i], you may specify the object as an Auxiliary Object[i].[/i] Open the tab [i]Basic[/i] of the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] Porperties Dialog and check [i]Auxiliary Object[/i].[br][br]By default, [i]Auxiliary Objects[/i] are not shown in the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i]. You can change this setting by selecting [i]Auxiliary Objects[/i] from the[i] Context Menu [/i](right-click or Mac OS Ctrl-click), or by selecting on the appropriate icon in the [url=https://www.geogebra.org/m/XUv5mXTm#material/a28zyjjq][i]Algebra View Style Bar[/i][/url].[br]