Hyperbola with Foci

Loading the math board and drawing, please wait…

2015-04-10 21:15

In collections Conic Sections with Foci

This example demonstrates a hyperbola and its foci. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances to two fixed points (foci) is constant. The example constructs a hyperbola using the Point and Hyperbola commands. Suitable for high school mathematics education, particularly in coordinate geometry.

GeoGebra Commands & Parameters

Point(xAxis) → A
Point(xAxis) → B
Hyperbola(A, B, C) → c

AI Drawing Prompt Reference

Draw a hyperbola and label its foci. A hyperbola is the set of all points in a plane such that the absolute value of the difference of the distances to two fixed points (foci) is constant. First, plot two points on the x-axis, then draw a hyperbola using these two points as foci to show its shape and the relationship between the hyperbola and its foci.

The prompt above was compiled from the original drawing commands and is for reference only.