How to Graph Functions and Coordinates

Create new objects
[size=100]You may create new objects (e.g. points, lines, functions) by either using the [i]Graphics Tools[/i] provided in the [i]Toolbar[/i], or by entering their equations and coordinates into the[i] Algebra Input[/i] and pressing the [i]Enter [/i]key.[br][/size]
Instructions
[size=100][table][tr][td nowrap][code]y = 3 x + 1[/code][/td][td]Enter the linear equation [code]y = 3*x + 1 [/code]into the [i]Algebra Input[/i] and press the [i]Enter [/i]key.[/td][/tr][tr][td nowrap][code]f(x) = x² + 2[/code][/td][td]Enter the function [code]f(x) = x^2 + 2[/code] into the [i]Algebra Input[/i] and press the [i]Enter [/i]key.[/td][/tr][tr][td nowrap][code]B = (2, 1)[/code][/td][td]Enter [code]B = (2, 1)[/code] into the [i]Algebra Input[/i] and press [i]Enter [/i]in order to create a new point. Create another new point [code]C = (-1, 3)[/code][/td][/tr][tr][td][center][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_join.png[/icon][/center][/td][td]Select the [i]Line [/i]tool from the [i]Toolbar [/i]and click twice in the [i]Graphics View[/i] or on the two existing points [i]B[/i] and [i]C[/i] to create a line.[/td][/tr][/table][br][/size][u]Hint[/u]: Click on the [img]https://wiki.geogebra.org/uploads/thumb/d/dc/Keyboard_open.svg/20px-Keyboard_open.svg.png[/img] keyboard icon in order to open a [b]virtual keyboard[/b].
Try it yourself...
Modify existing objects
[size=100]You can drag existing objects in the [i]Graphics View[/i], or change their equations and coordinates in the [i]Algebra View[/i].[br][br][/size][table][tr][td][size=100]1.[/size][/td][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Select the [i]Move [/i]tool and drag objects in the [i]Graphics View[/i] to change their position.[/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][br][/td][td][size=100]Double click on an object in the [i]Algebra View[/i] in order to directly change its equation or coordinates, or redefine it.[/size][/td][/tr][/table][size=100][br][/size]
Delete objects
[size=100]Sometimes, you may want to delete objects that you created in one of the following ways:[br][/size][list][*][size=100]Select the [img]https://wiki.geogebra.org/uploads/thumb/3/38/Menu-edit-undo.svg/16px-Menu-edit-undo.svg.png[/img] [i]Undo [/i]button in order to undo the last object(s) you created.[/size][/*][*][size=100]Use the [img]https://wiki.geogebra.org/uploads/thumb/8/86/Mode_delete.svg/16px-Mode_delete.svg.png[/img] [i]Delete[/i] tool in order to delete any object you created.[br][u]Hint[/u]: Click on the last [i]Tool[/i] icon in order to open the corresponding [i]Toolbox[/i]. Select the [img]https://wiki.geogebra.org/uploads/thumb/8/86/Mode_delete.svg/16px-Mode_delete.svg.png[/img] [i]Delete [/i]tool from the [i]Toolbox[/i] and click on the object(s) you want to delete.[/size][/*][/list][size=100][br][/size]

The Graphics Tools

The Graphics View Toolbar
[size=100]The [i]Graphics Tools[/i] are organized in GeoGebra's [i]Graphics View Toolbar[/i]:[br][br][img]https://wiki.geogebra.org/uploads/thumb/e/eb/Toolbar-Graphics.png/344px-Toolbar-Graphics.png[/img][br][br]It contains a variety of [i]Graphics Tools[/i], which are organized in [i]Toolboxes [/i]and can be operated with your pointing device.[/size]
Familiarize yourself with GeoGebra's Graphics Tools
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_join.png[/icon][/size][/td][td][size=100]Select the [i]Line[/i] tool and click twice in the [i]Graphics View[/i] in order to create two points [i]A[/i] and [i]B[/i] and a line through them.[/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]Select the [i]Move [/i]tool and drag the points in order to change their position. [/size][/td][/tr][tr][td][size=100]3. [/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_slope.png[/icon][/size][/td][td][size=100]Find the [i]Slope [/i]tool within the [i]Toolboxes[/i] and select the line in order to create its slope triangle.[/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]/images/ggb/toolbar/mode_circlepointradius.png[/icon][/size][/td][td][size=100]Select the [i]Circle with Center and Radius [/i]tool and read the [i]Tooltip[/i] in order to find out how to create a circle with centerpoint [i]A[/i] and radius 4.[/size][/td][/tr][/table][size=100][u][br]Hint[/u]: You might want to [img]https://wiki.geogebra.org/uploads/thumb/8/81/Menu-view-refresh-views.svg/16px-Menu-view-refresh-views.svg.png[/img] reset your construction in order to try out more [i]Graphics Tools[/i].[/size]
Try it yourself...
Selected Graphics Tools you might want to try out as well
[table][tr][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_segmentfixed.png[/icon][/size][/td][td][size=100]Activate the tool [i]Segment with Given Length[/i][i] [/i]and click in the [i]Graphics View[/i] in order to create a point. In the appearing dialog window, enter the length of the segment (e.g. [code]3[/code]) and click [button_small]OK[/button_small].[/size][/td][/tr][tr][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_pointonobject.png[/icon][/size][/td][td][size=100][i][/i]Select tool [i]Point on Object[/i] and click on an object (e.g. a segment) in order to create a point on this object.[/size][/td][/tr][tr][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/size][/td][td][size=100]Activate the [i]Polygon tool[/i] and click either on the [i]Graphics View[/i] or on existing points in order to create the vertices of your polygon. [br][u]Note[/u]: Click on the first point again in order to close the polygon.[/size][/td][/tr][tr][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_angle.png[/icon][/size][/td][td][size=100]After selecting the [i]Angle[/i] tool, create three new points or select existing points in counter-clockwise order in order to measure the angle between them. [br][/size][/td][/tr][tr][td][size=100][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_showhideobject.png[/icon][/size][/td][td][size=100]After activating the [i]Show / Hide Object[/i] tool, select all objects you want to hide. Then, switch to any other tool in order to apply your changes.[/size][/td][/tr][/table]

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