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Quadratic Functions Properties and Graphs

Quadratic Functions Properties and Graphs
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2016-02-07 02:31
FunctionDerivativeGraphing
This example demonstrates the properties and graphs of quadratic functions. Key mathematical concepts include quadratic functions, extrema, derivatives, and graph transformations. Using GeoGebra commands such as SelectedElement, Extremum, and Derivative, dynamic displays of quadratic function properties are achieved. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. SelectedElement(Function) → f
  2. Extremum(f) → D
  3. Intersect(f, yAxis) → A
  4. Intersect(f, xAxis) → B, C
  5. Derivative(f) → f'
  6. Derivative(f') → f''
  7. If(s > 0, text6, text4) → text8
  8. If(s > 0, text5, text7) → text9
  9. If(s > 0, text13, text12) → text14
  10. If(s > 0, text16, text15) → text17