GeoGebra

Parameters of Functions

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By Dr. Armando Landa. This interactive micro world helps to recognize the effects of parameters on graphs and relate to its algebraic expression.

version 1, 2009.Geometric Representation of Parameters a, b, c To define parameters, drag sliders.

version 2, 2010.Geometric Representation of Parameters a, b, c To define parameters, drag sliders or points V and A. Shift with check box Pts<-->Slider

version 3, 2011. Parameters, graphs of f(x) Select first function to study with slider 'function'. Three levels of increasing difficulty for each kind of functions in 'Test' part.

Supports functions:

  • f(x)=a*(x-b)^n+c
  • f(x)=a*|x-b|^n+c
  • f(x)=a*(x-b)^{m/n}+c
  • f(x)=a*n^(x-b)+c
  • f(x)=a*exp(x-b)^n+c
  • f(x)=a*ln(x-b)^n+c

For the teacher: Suggestions of use in the classroom for version I, 2009.