Graph Transformations by Gareth Daniels

Graph Transformations by Gareth Daniels
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2013-11-12 17:16
This example demonstrates transformations of function graphs, including reflection and translation. Using input boxes and buttons, the process of transforming function f to g can be dynamically shown. Mainly using If statements, text fields, and function objects in GeoGebra.

GeoGebra Commands & Parameters

  1. If(x < -2, 1, If[-2 ≤ x ≤ 1, 5 - x^(2), 4]) → f
  2. Textfield(r) → inputBox1

AI Drawing Prompt Reference

Draw a function graph to demonstrate transformations including reflection and translation. Use an input box to enter parameters and dynamically show the transformation of function f to g using buttons. The main function is a piecewise function defined as: value is 1 when x < -2, 5 - x^2 when -2 ≤ x ≤ 1, and 4 when x > 1. Also include a text input box for parameter input.
The prompt above was compiled from the original drawing commands and is for reference only.