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Describing Parabolas by brettbellaire

Describing Parabolas by brettbellaire
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2016-04-29 21:32
FunctionCoordinate GeometrySlider Animation
Adjust sliders to draw parabolas that match a given situation. This example covers the basic properties of parabolas, including the vertex, focus, and directrix. GeoGebra commands like If and Textfield are used to dynamically show the changes in the parabola. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. If(c > 0, "-", "+") → text5
  2. If(a ≟ 1, "", text8) → text7
  3. If(d < 0, "-", "+") → text6
  4. If(c ≟ 0, "", text9) → text11
  5. If(d ≟ 0, "", text10) → text12
  6. If(c ≟ 0, "", "(") → text13
  7. Textfield(a) → InputBox1
  8. Textfield(c) → InputBox2
  9. Textfield(d) → InputBox3

AI Drawing Prompt Reference

Draw a parabola opening upwards with its vertex at the origin, focus at (0, 1), and directrix at y = -1. Adjust the values of a, c, and d to observe the changes in the parabola.
The prompt above was compiled from the original drawing commands and is for reference only.