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Gateway Arch - Modeling with Parabola

Gateway Arch - Modeling with Parabola
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2018-05-01 00:49
FunctionCoordinate GeometryGeometric Construction
In collections Modeling real life with parabola
This example demonstrates how to model the Saint Louis Gateway Arch using a parabola. It involves core math concepts like parabola equations, coordinate geometry, and transformations. GeoGebra commands/objects used include A, B, pic1, b, c, a, f, text1, text2. Suitable for high school mathematics education to understand the application of parabolas in real-world architecture.

GeoGebra Commands & Parameters

  1. Point A(-23.811545104355538, 3.5197203043468264)
  2. Point B(-0.49794510435553985, 3.5197203043468264)
  3. Numeric b(-4.75)
  4. Numeric c(0.3)
  5. Numeric a(-0.2)
  6. f(x) = (a * x^(2)) + (b * x) + c