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Match the Parabola by Mike Evans

Match the Parabola by Mike Evans
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2020-04-29 21:06
FunctionCoordinate GeometryTransformation
Transform one parabola to match another. This example demonstrates the properties of parabolas and transformations such as rotation and translation. Using GeoGebra commands like Random, RandomDiscrete, and Intersect, students can visually understand the transformation process of parabolas. Suitable for high school mathematics education and learning.

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,

AI Drawing Prompt Reference

Draw a coordinate plane with a target parabola (opening upward or downward, vertex on the y-axis) and another parabola to be transformed. The target parabola is defined by random coefficients, with its vertex, y-intercept, and two roots marked. The second parabola also has its vertex, y-intercept, and two roots, with its vertex coordinates and opening coefficient controlled by three editable input boxes. Both parabolas intersect the y-axis, and the roots and vertex of the target are clearly visible. The scene illustrates how the second parabola can be transformed (translated, rotated, scaled) to match the target, suitable for teaching.
The prompt above was compiled from the original drawing commands and is for reference only.