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Sketching Quadratic Functions

Sketching Quadratic Functions
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2019-03-27 00:35
FunctionCalculusGraphing
This example demonstrates how to sketch the graph of a quadratic function. Key mathematical concepts include quadratic functions, extremum points, and roots. Using GeoGebra commands such as Random, Element, and Solutions, the coefficients of the quadratic function can be dynamically adjusted to observe changes in the graph. Suitable for high school mathematics education and learning about quadratic functions.

GeoGebra Commands & Parameters

  1. Random((-2 * sqrt(abs(c))), (2 * sqrt(abs(c)))) → b
  2. Element(Listd1, Difficulty) → f1
  3. Element(Listd2, Difficulty) → f2
  4. Solutions(f2 = 0) → var
  5. If(Difficulty < 5, Factor[(f1(x) * f2(x))], k) → f
  6. Extremum(f) → TP
  7. Expand(f) → g
  8. If(Difficulty ≟ 5, 10, Max[xmaxlist]) → xmax
  9. If(Difficulty ≟ 5, -10, Min[xminlist]) → xmin
  10. Max(ymaxlist) → ymax
  11. Min(yminlist) → ymin