MathPlotAI Logo MathPlotAI

Parabola Water Fountain Model

Parabola Water Fountain Model
Loading the math board and drawing, please wait…
2018-05-01 01:07
FunctionCoordinate GeometryTransformationOptimizationGraphing
In collections Modeling real life with parabola
This example demonstrates a parabolic water fountain effect, involving core math concepts like parabola equations, rotation, power functions, pyramid structures, multiplication, and dilation transformations. It uses GeoGebra commands/objects a, b, c, f, A, B, pic1, where a, b, c define parameters, f represents the function, A, B are key points, and pic1 is the image object. Suitable for high school mathematics teaching to understand parabolic properties and transformation applications.

GeoGebra Commands & Parameters

  1. Numeric a(-1.42)
  2. Numeric b(7.1)
  3. Numeric c(-10)
  4. f(x) = (a * x^(2)) + (b * x) + c
  5. Point A(-1.6719079421868885, -4.522858479008271)
  6. Point B(6.9773944632807225, -4.498920101424781)