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Examples to Compare Properties of Quadratic Functions

Examples to Compare Properties of Quadratic Functions
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2017-07-31 05:10
FunctionDerivativeGraphing
This example demonstrates the properties of quadratic functions through specific examples, helping to understand key concepts such as quadratic functions, extrema, derivatives, and graphs. It uses GeoGebra commands like SelectedElement, Extremum, Intersect, and Derivative for construction. 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