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Vertical Parabola by Jennie Bass

Vertical Parabola by Jennie Bass
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2015-02-19 07:19
FunctionCoordinate GeometryGeometric Construction
This example demonstrates the geometric properties of a vertical parabola. It involves key concepts such as the parabola, focus, and directrix. By adjusting parameters h, k, p, and c, you can observe changes in the vertex, focus, and directrix. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric h(-2)
  2. Numeric k(2.2)
  3. Numeric p(0.5)
  4. y - k = (4 * (p * (x - h)^(2)))
  5. (h, k)
  6. (h, k + p)
  7. y = k - p

AI Drawing Prompt Reference

Draw a vertical parabola with vertex at (-2, 2.2), focus 0.5 units above the vertex, and directrix y=2.2-0.5. Observe changes in the vertex, focus, and directrix by adjusting parameters h, k, and p.
The prompt above was compiled from the original drawing commands and is for reference only.