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Investigation of Quadratic Transformations

Investigation of Quadratic Transformations
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2015-02-10 21:10
FunctionCoordinate Geometry
This example investigates the effects of different transformations on the quadratic function [math]y=x^2[/math] in the form [math]y=a(x+h)^2+k[/math]. Key mathematical concepts include function transformations and properties of quadratic functions. It utilizes GeoGebra commands such as Textfield, button, and inputBox, suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Textfield(a) → inputBox1
  2. Textfield(h) → inputBox2
  3. Textfield(k) → inputBox3

AI Drawing Prompt Reference

Draw the quadratic function y=x^2, and use input boxes to adjust parameters a, h, and k to observe how the graph transforms through translations and stretches. First input a, then h and k, and observe the changes in the graph.
The prompt above was compiled from the original drawing commands and is for reference only.