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Parabola and Linear Regression

Parabola and Linear Regression
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2016-03-11 03:39
FunctionCoordinate GeometrySlider AnimationLocusGraphing
This example demonstrates the properties of a parabola and its relationship with linear regression. Core math concepts include parabola, linear regression, addition, congruence, power functions, and line segments. It uses GeoGebra commands/objects like a, h, k, text1, f, g, b, p, c, q, d, r, e, text2. Suitable for high school mathematics teaching to understand function graphs and data analysis.

GeoGebra Commands & Parameters

  1. Numeric a(1.0)
  2. Numeric h(0.0)
  3. Numeric k(0.0)
  4. f(x) = (a * (x - h)^(2)) + k
  5. g(x) = (0.5 * (x - 2)^(2)) + 3
  6. Boolean b(false)
  7. p(x) = (-(x - 1)^(2)) + 4
  8. Boolean c(false)
  9. q(x) = (-2 * (x - 4)^(2)) + 5
  10. Boolean d(false)
  11. r(x) = (x + 4)^(2) - 3
  12. Boolean e(false)