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Linking Factorising to Graphical Roots (1x^2 Only)

Linking Factorising to Graphical Roots (1x^2 Only)
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2017-01-22 03:40
FunctionCoordinate GeometryOptimizationGraphing
This example demonstrates how to find the roots of a quadratic function by factorizing it and connecting it to the graphical representation on the x-axis. Core math concepts include factorization, quadratic functions, graphical roots, and solving quadratic equations. It uses GeoGebra commands like Random, If, Textfield, Root, and Extremum to construct the demonstration. Suitable for high school students to understand the relationship between factorization and graphical roots of quadratic functions through dynamic visualization.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → b
  2. Random(1, 1) → a
  3. Random(1, 1) → c
  4. Random(-10, 10) → d
  5. If((a * d) + (b * c) < 0, (-((a * d) + (b * c))), (a * d) + (b * c)) → B
  6. If((b * d) < 0, ((b * d) * (-1)), (b * d)) → C
  7. If((a * d) + (b * c) < 0, "-", "+") → sign1
  8. If((b * d) < 0, "-", "+") → sign2
  9. If(b < 0, "- ", "+") → sign3
  10. If(d < 0, "- ", "+") → sign4
  11. Textfield(ansA) → InputBox1
  12. Textfield(ansB) → InputBox2
  13. Textfield(ansC) → InputBox3
  14. Textfield(ansD) → InputBox4
  15. Root(f) → L, M
  16. Textfield(root1) → InputBox5
  17. Textfield(root2) → InputBox6
  18. Extremum(f) → N