Quadratic Function - Vertex Form Exploration
Loading the math board and drawing, please wait…
In collections
Quadratic functions
This example demonstrates the transformation rules of a quadratic function in vertex form y=a(x-p)^2+q. It involves core concepts: quadratic functions, vertex coordinates, and the effects of parameters a, p, q on the graph's opening direction, axis of symmetry, and vertex position. GeoGebra commands used include sliders a, p, q, texts text1-text4, point Vertex, and locus. Suitable for high school mathematics education to understand parameter significance and dynamic graph changes.
GeoGebra Commands & Parameters
Numeric a(1.0)Numeric p(0.0)Numeric q(0.0)1.0 * 1.0 * 1.0 * 1.0 y = a * (1.0 * 1.0 * 1.0 * 1.0 x - p)^(2.0) + q(p, q)
AI Drawing Prompt Reference
Draw the graph of a quadratic function in vertex form y=a(x-p)^2+q, with sliders for a, p, q to dynamically show how changes in these parameters affect the graph's opening direction, vertex position, and axis of symmetry, including the function curve and vertex coordinates.
The prompt above was compiled from the original drawing commands and is for reference only.