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Quadratic Function and Transformations

Quadratic Function and Transformations
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2018-06-07 03:08
FunctionCoordinate GeometryTransformation
This example demonstrates the dynamic graph of a quadratic function with root illustration and geometric transformations. Key math concepts include quadratic functions, roots, geometric transformations, and vector operations. GeoGebra commands like Vector, Translate, Distance, Root, and SurdText are used in construction. Suitable for high school mathematics teaching and function graph analysis.

GeoGebra Commands & Parameters

  1. Vector(A, E) → v
  2. Translate(B, v) → B'
  3. Vector(B, B') → a
  4. Vector(E, C) → w
  5. Distance(E, C) → distanceEC
  6. Distance(E, D) → distanceED
  7. Vector(B', F) → u
  8. Distance(B', F) → distanceB'F
  9. Distance(B, B') → distanceBB'
  10. Vector(G, H) → n
  11. Distance(G, H) → distanceGH
  12. Root(f) → J, K
  13. SurdText(x(J)) → text5
  14. SurdText(x(K)) → text6

AI Drawing Prompt Reference

Draw a dynamic graph of a quadratic function with root illustration and geometric transformations. First, draw the quadratic function graph, then mark the roots J and K and show their coordinates. Next, draw vector v through points A and E, and then translate point B to get B' and draw vector a. Then, draw vector w and calculate distances EC and ED. After that, draw vector u through points B' and F, and calculate the distance from B' to F. Next, draw vector n and calculate the distance from G to H. Finally, draw the text for the roots through points J and K.
The prompt above was compiled from the original drawing commands and is for reference only.