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Fitting a Parabola by Tosha Kelsey

Fitting a Parabola by Tosha Kelsey
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2016-12-05 14:06
FunctionCoordinate GeometryCalculus
This example demonstrates how to fit a parabola through given points. Key mathematical concepts include quadratic equations and transformations. Using GeoGebra, points A and B are used to construct the vertex C of the parabola, and parameters a, h, and k are adjusted to change the shape and position of the parabola. This example is suitable for high school mathematics education, helping students understand the properties and transformations of parabolas.

GeoGebra Commands & Parameters

  1. Point A(0.0, 0.0)
  2. Point B(23.2, 0.0)
  3. Numeric a(1.0)
  4. Numeric h(0.0)
  5. Numeric k(0.0)
  6. y = (a * (x - h)^(2)) + k
  7. Point C(11.5, 15.25)

AI Drawing Prompt Reference

Draw a parabola passing through two given points, showing how to change its shape and position by adjusting parameters. First mark two points, then determine the vertex of the parabola based on parameters a, h, and k, and draw the curve represented by the parabola equation.
The prompt above was compiled from the original drawing commands and is for reference only.