Vertex Form of Parabola

Vertex Form of Parabola
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2016-11-15 02:56
This example demonstrates the graphical representation and parameter variations of the vertex form of a parabola. Key math concepts include the standard equation of a parabola, vertex coordinates, opening direction and range, and the impact of parameter 'a' on the shape. It utilizes GeoGebra commands/objects like h(horizontal coordinate), k(vertical coordinate), a(opening coefficient), c(constant term), p(focal length), A(vertex x), B(vertex y), d(dynamic adjustment). Suitable for high school mathematics students and educational purposes needing to understand parabola properties.

GeoGebra Commands & Parameters

  1. Numeric h(2.35)
  2. Numeric k(1.7)
  3. Numeric a(0.2)
  4. y = (a * (x - h)^(2)) + k
  5. 1 / ((4 * a))
  6. (h, k)
  7. (h, k + p)
  8. y = k - p