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Match the Parabola

Match the Parabola
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2020-05-04 10:13
FunctionCoordinate GeometryOptimizationInequalityGraphing
This example demonstrates how to match a parabola by adjusting parameters. It involves core math concepts like parabolas, linear functions, combinatorics, rhombuses, binomial distribution, and inequalities. Construction highlights include commands/objects such as Random, RandomDiscrete, Intersect, Root, Extremum, and Textfield. Suitable for high school mathematics teaching to understand function graph transformations and parameter effects.

GeoGebra Commands & Parameters

  1. Random(-6, 6) → B
  2. Random(-5, 5) → C
  3. RandomDiscrete({-4, -3, -2, -1, -0.5, -0.25, 0.25, 0.5, 1, 2, 3, 4}, {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1}) → M
  4. Intersect(TARGET, yAxis) → D,
  5. Root(TARGET) → A, H
  6. Extremum(TARGET) → K
  7. Textfield(k) → InputBox1
  8. Textfield(h) → InputBox2
  9. Textfield(a) → InputBox3
  10. Root(g) → E, I
  11. Extremum(g) → F
  12. Intersect(g, yAxis) → G,