Different Forms of Quadratic Functions

Different Forms of Quadratic Functions
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2015-06-29 11:48
This example demonstrates the different forms of quadratic functions (standard, vertex, general) and their graphical transformations. Key math concepts include quadratic functions, vertex, axis of symmetry, discriminant, and function graph transformations. GeoGebra commands like FitPoly, CompleteSquare, and Element are used along with objects A, B, C, f, g, a, b, c, h, k, delta, x1, x2. Suitable for high school mathematics teaching to understand quadratic function properties and optimization problems.

GeoGebra Commands & Parameters

  1. FitPoly({A, B, C}, 2) → f
  2. CompleteSquare(f) → g
  3. Element(Coefficients[f], 1) → a
  4. Element(Coefficients[f], 2) → b
  5. Element(Coefficients[f], 3) → c