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Generating a Parabola from Two Linear Functions by David Wees

Generating a Parabola from Two Linear Functions by David Wees
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2015-10-28 23:27
FunctionCoordinate GeometryComplex NumberSlider AnimationGraphing
This example demonstrates how to generate a parabola by multiplying two linear functions, exploring the relationship between linear functions and parabolas. It involves core concepts like linear functions, parabolas, complex numbers, arithmetic mean, and scatter plots. Constructed using GeoGebra commands: a, b, c, d, f, g, h. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Numeric a(-0.5)
  2. Numeric b(1.0)
  3. Numeric c(0.8)
  4. Numeric d(2.8)
  5. f(x) = (a * x) + b
  6. g(x) = (c * x) + d
  7. h(x) = (f(x) * g(x))