Parabolas in Vertex Form

Parabolas in Vertex Form
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2016-11-02 09:21
This example demonstrates the graph and properties of parabolas in vertex form. Key math concepts include parabola equations, vertex coordinates, axis of symmetry, and function graph transformations. It is constructed using GeoGebra commands/objects: a (coefficient), h (x-coordinate shift), k (y-coordinate shift), and c (constant term) to dynamically adjust the parabola equation y=a(x-h)^2+k. Suitable for high school coordinate geometry teaching to understand the impact of parameters on the parabola's graph.

GeoGebra Commands & Parameters

  1. Numeric a(1)
  2. Numeric h(0)
  3. Numeric k(0)
  4. c(x) = (a * (x - h)^(2)) + k