Shifted Form of Parabolas

Shifted Form of Parabolas
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2019-03-09 09:00
This example demonstrates the shifted form (vertex form) of parabolas and how translations affect their graphs. It involves core math concepts like parabola equations, quadratic functions, vertex form, and transformations. Constructed using GeoGebra objects d, e, h, c representing translation parameters, vertex coordinates, control points, and the curve itself. Suitable for high school students learning function graph transformations and for teaching purposes.

GeoGebra Commands & Parameters

  1. y = x^(2)
  2. y = (x - 5)^(2)
  3. Numeric h(1)
  4. y = (x - h)^(2)