For more information

You can go to geogebra and get the tutorial to improve your geogebraing skills. Heres the link to the offical geogebra website:

http://www.geogebra.org/cms/

Thank you

So have fun and create objects like the ones above. Geogebra can help one with math along.

Locus the awesome command

You can make a point P by entering it in the input bar: P=(2,4)

If you use a capital letter the object is shown as a point, otherwise as a vector.

You can find the x- and y-coordinate of a point P by using the commands x(P) and y(P)respectively.

■Make a unit circle by placing a point A at the origin and a point B with coordinates (1,0).
■Place a point C on the circle and make an angle α representing the angle BAC.
■Make a point P to represent the sine-function, input P=(α,y(C)), the x-coordinate will represent the angle and the y-coordinate will represent the corresponding value of sine.
■Move C!
■You can let Q represent the graph of cosine in a similar way.

It should overall look like this:

More cool stuff

You can even mess with the sine cosine and tanjent commands and create an image that may look like :

Drawing irregular shapes: oval

To draw an oval: try out this equation 93.25x^2+ 77.25y^2-154.51y = 373.0
or you can simply put three points: A(0,0), B( 0,2) and C( 2,0) and do this: ecilpse(A,B,C) this should produse an oval shape like

More cooler things that you can do with geogebra

Heres the link to a really cool thing to do with geogebra and that is to ainimate things with it. Example will be racing cars.
http://www.geogebra.org/en/upload/files/english/David%20Cox/racecar.html

Also, one can also find out radiuses of circles like this:



or make out cool shapes like this too:

c: x² + y² = 16 This is the equation of a circle that will attribute it to have a radius of 4. The radius of the circle can be seen from the sqaure root of the number at the end of the equation. It will look something like this.





I have to agree that this drawing is not a good example.

Geogebra

We will be focusing on geogebra, a graphing software found free on the web. Geogebra basically needs the user to type in commands to draw a line. For example, if I type in c: (-x + y) (x + y) = 0 it will form a cross like this:






I have to use paint to draw out the images as geogebra drawn mages cannot be uploaded.