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Parabola in Water Fountain

Parabola in Water Fountain
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2018-05-01 02:10
FunctionCoordinate GeometryTransformation
In collections Modeling real life with parabola
This GeoGebra example demonstrates a parabolic phenomenon in a water fountain. It involves key mathematical concepts such as parabolas, geometric transformations, and polynomial functions. By creating points A and B, drawing the parabola f(x) = a(x - b)^2 + c, and adding text descriptions, users can visually understand the properties of parabolas. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point A(-3.784, -1.94)
  2. Point B(4.4096, -1.94)
  3. Numeric a(-3.6)
  4. Numeric b(-6.1)
  5. Numeric c(-2.1)
  6. f(x) = (a * x^(2)) + (b * x) + c

AI Drawing Prompt Reference

Draw a parabola with points A at (-3.784, -1.94) and B at (4.4096, -1.94), using the equation f(x) = -3.6 * (x + 6.1)^2 - 2.1. Adjust parameters a, b, and c to change the shape and position of the parabola, and add text to describe its properties.
The prompt above was compiled from the original drawing commands and is for reference only.