We can see this shape in our 3D graph above. If we fix y = 1 then the curve z = 1 / x 2 (it's in 2 dimensions) looks like this: Let's consider this curve for a bit (using GeoGebra to help, of course), and investigate it from different angles. Those graphs are similar to the following ones, which also involve an asymptote: I used some different software for those ones (which has a problem where asymptotes appear as vertical 'walls' - but shouldn't be there at all. One reader asked how to draw some graphs involving interesting asymptotes. Next, here are some 3D graphs that were suggested by some comments on the article How to draw y^2 = x - 2? Here's a water droplet-like shape, whose equation is: Let's draw a few 3D surfaces using GeoGebra. Of course, you can still create 2D graphs as before, and the interface is largely unchanged for that aspect. You also get a set of empty 3-D coordinate axes, like this: When you first open GeoGebra now, you are greeted with this choice of Perspectives:Ĭhoosing '3D Graphics', you get several new panels, which allow you to create 3D objects like a line perpendicular to a plane, a plane intersecting a cone, a plane through 3 points, a sphere, and so on: GeoGebra is a powerful and free graphing tool that anyone learning - or teaching - mathematics would find useful.įor me, the best feature of the new version is the ability to create 3D graphs. GeoGebra released version 5 a few months back.

Geogebra 3d graphing