Parabola Representations

Parabola Representations
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2016-03-28 08:02
This example demonstrates different representations of a parabola. It involves key mathematical concepts such as parabola, difference and slope, sine, dilation, linear equations, and tangent line. Using GeoGebra commands like FitPoly, Coefficients, Textfield, etc., various forms of the parabola such as vertex form, standard form, and factored form are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. FitPoly({A, B, C}, 2) → f
  2. Coefficients(f) → abc
  3. Textfield(A) → PointA
  4. Textfield(B) → PointB
  5. Element(abc, 1) → a
  6. Textfield(C) → PointC
  7. Extremum(f) → Vert
  8. Root(f) → R_1, R_2
  9. Element(abc, 2) → b
  10. Element(abc, 3) → c