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Graph of a Cubic Function in Different Forms

Graph of a Cubic Function in Different Forms
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2015-09-18 21:31
FunctionCoordinate GeometryCalculus
This example demonstrates the graph of a cubic function in different forms, involving core mathematical concepts such as functions, derivatives, and coordinate geometry. By adjusting parameters a, b, c, d, p, aa, r, s, t, you can observe changes in the function's graph. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(-2.3)
  2. Numeric b(2.0)
  3. Numeric c(1.8)
  4. Numeric d(1.0)
  5. p(x) = (a * x^(3)) + (b * x^(2)) + (c * x) + d
  6. Numeric aa(-2.1)
  7. Numeric r(1.0)
  8. Numeric s(0.0)
  9. Numeric t(2.4)
  10. f(x) = (((a * (x - r)) * (x - s)) * (x - t))
  11. Numeric e(0.0)