Interactive Hyperbola y = k/x Demonstration
Loading the math board and drawing, please wait…
This example demonstrates the hyperbola y = k/x by using a slider to change the constant k, visually showing how k affects the position and shape of the hyperbola. It involves core mathematical concepts: hyperbola, inverse proportion function, and analytical geometry. Construction highlights include using GeoGebra commands k, text1_2, text1, text2, f for the slider, text labels, and function graphing. Suitable for high school students learning the properties of inverse proportion functions and the geometric characteristics of hyperbolas.
GeoGebra Commands & Parameters
Numeric k(5.0)f(x) = k / x
AI Drawing Prompt Reference
Draw the graph of the hyperbola y = k/x where k is a variable controlled by a slider, visually demonstrating how changes in k affect the position and shape of the hyperbola, including labels for key parameters and function relationships, suitable for high school students to explore the properties of inverse proportion functions and the geometric characteristics of hyperbolas.
The prompt above was compiled from the original drawing commands and is for reference only.