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Find the Equation of the Parabola

Find the Equation of the Parabola
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2015-02-11 23:27
FunctionCoordinate GeometryOptimization
This example demonstrates how to draw and solve the parabola equation based on given conditions. Core math concepts include parabola, coordinate geometry, and transformations. Construction highlights involve commands/objects like Random, RandomElement, Textfield, sliders, and input boxes for dynamic exploration. Suitable for high school and above learners to understand parabola equation solving and visualization.

GeoGebra Commands & Parameters

  1. Random(1, 10) → a
  2. RandomElement({-7, -6, -5, -4, -3, -2, -1, 1, 2, 3, 4, 5, 6, 7}) → b
  3. RandomElement({-1, 1}) → d
  4. RandomElement({-1, 1}) → e
  5. Textfield(h) → inputBox1
  6. Textfield(k) → inputBox2
  7. Textfield(g) → inputBox3
  8. RandomElement({1, 2, 3}) → r

AI Drawing Prompt Reference

Draw a parabola with vertex at (h, k) and equation y = a(x - h)² + k, where a is a random number between 1 and 10. Users input h and k through text fields. Also, draw a parabola with vertex at (b, d) and equation y = r(x - b)² + d, where b and d are randomly selected from a set of predefined values, and r is 1, 2, or 3. Finally, display a parabola with vertex at (e, 0) where e is randomly selected from a set of predefined values.
The prompt above was compiled from the original drawing commands and is for reference only.