Quadratic Functions Graph & Equation Anatomy

Quadratic Functions Graph & Equation Anatomy
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2017-03-30 05:07
This example demonstrates the graph of quadratic functions and its key structural elements. It involves core math concepts like functions, quadratic functions, vertex, focus, directrix, vector, distance, median line, and variance. The construction uses GeoGebra commands and objects such as Vertex, Focus, Vector, Distance, Directrix. Suitable for high school mathematics teaching and learning to understand the geometric properties and algebraic expressions of quadratic functions.

GeoGebra Commands & Parameters

  1. Vertex(c) → V, , ,
  2. Focus(c) → F,
  3. Vector(V, F) → u
  4. Distance(V, F) → distanceVF
  5. Vertex(d) → V_1, , ,
  6. Focus(d) → F_1,
  7. Vector(V_1, F_1) → v
  8. Distance(V_1, F_1) → distanceV1F1
  9. Directrix(d) → a,
  10. Directrix(c) → b,