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The Parent Quadratic Function

The Parent Quadratic Function
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2015-10-29 22:11
FunctionCoordinate GeometryDerivativeOptimizationGraphing
In collections Quadratic Functions and Transformations
This example demonstrates the graph and properties of the parent quadratic function y=x². Key math concepts include quadratic functions, vertex, axis of symmetry, and opening direction. Construction involves commands like Segment, CurveCartesian, Point, Vector, and Textfield to plot the graph, vertex, axis, and vectors. Suitable for high school mathematics teaching to understand basic characteristics and effects of parameter changes on the graph.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. CurveCartesian(t, t^(2), t, -2.8, 2.8) → c
  4. Point(c) → E
  5. Vector(E, F) → u
  6. Point(c) → G
  7. Vector(G, H) → v
  8. Textfield(a1) → inputBox1
  9. Textfield(a2) → inputBox2
  10. Textfield(a3) → inputBox3
  11. Textfield(a4) → inputBox4
  12. Textfield(a5) → inputBox5
  13. Vector(I, A3) → w