Graphing Parabolas in Vertex Form: Exploring Parameters a, h, k

Graphing Parabolas in Vertex Form: Exploring Parameters a, h, k
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2015-09-25 14:40
This GeoGebra example demonstrates how parameters a, h, and k affect the graph of a parabola in vertex form. It covers core concepts like vertex coordinates, opening direction, and scaling transformations. Construction utilizes GeoGebra vector commands and sliders to dynamically build function f and vertex V. Ideal for high school students studying quadratic functions and graph transformations.

GeoGebra Commands & Parameters

  1. Vector(V, (h, k + a)) → u
  2. Vector((h, k + a), (h + 1, k + a)) → v