Quadratic Function & Tangent Line Demo

Quadratic Function & Tangent Line Demo
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2018-05-12 12:53
In collections Concept of Similarity
This example demonstrates the geometric relationship and transformation process between a quadratic function and its tangent line; involves core math concepts like quadratic functions, tangent equations, vector operations, and geometric transformations; constructed using commands/objects such as Segment, Polygon, Point, Dilate in GeoGebra; suitable for high school students and math enthusiasts to understand function graphs, tangent properties, and 2D vector transformations.

GeoGebra Commands & Parameters

  1. Segment(A', B') → e
  2. Polygon(A, B, C, D, E) → poly1, a, b, c, d, e_1
  3. Polygon(A', B', C', D', E') → poly2, a', b', f, g, h
  4. Point(Ray[F, F + (1, 0)]) → G
  5. Dilate(Polygon[Translate[A, Vector[A, F]], Translate[B, Vector[A, F]], Translate[C, Vector[A, F]], Translate[D, Vector[A, F]], Translate[E, Vector[A, F]]], Segment[G, F] / Segment[A, B], F) → poly3