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Visualizing Complex Roots of a Quadratic by Carolijn Tacken

Visualizing Complex Roots of a Quadratic by Carolijn Tacken
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2015-09-03 02:14
FunctionComplex NumberSlider Animation
This example demonstrates how to find the complex roots of a quadratic equation using a slider animation. Key mathematical concepts include complex numbers and roots. It utilizes commands like Mirror, LaTeX, Extremum, Rotate, Midpoint, Circle, and Intersect in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Mirror(B, xAxis) → B'
  2. LaTeX(f) → text2
  3. Extremum(f) → C
  4. Rotate(f, If[0 ≤ n ≤ 1, (((2 - n) * 180))°, 180*°], C) → f_1
  5. Midpoint(B, B') → D
  6. Circle(D, B) → c
  7. Intersect(c, xAxis) → E, F
  8. Rotate(E, If[2 ≤ n ≤ 3, (((n - 2) * 90))°, 90*°], D) → E'
  9. Rotate(F, If[2 ≤ n ≤ 3, (((n - 2) * 90))°, 90*°], D) → F'