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Translation Transformation by Michael Bailey

Translation Transformation by Michael Bailey
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2015-02-25 12:46
VectorFunctionTransformation
This example demonstrates the concept of translation transformation. It involves core mathematical concepts such as vectors and functions. Using GeoGebra commands like CurveCartesian, Point, and Vector, the effect of translation transformation can be constructed. Suitable for students at junior high school level and above to learn geometric transformations.

GeoGebra Commands & Parameters

  1. CurveCartesian(t, t^(2), t, -2.8, 2.8) → f1
  2. Point(f1) → A
  3. Vector(A, B) → u
  4. Point(f1) → C
  5. Vector(C, D) → v
  6. CurveCartesian(t, t^(3), t, -1.8, 2.01) → f2
  7. Point(f2) → E
  8. Vector(E, F) → w
  9. Point(f2) → G
  10. Vector(G, H) → g
  11. CurveCartesian(t, abs(t), t, -5, 5) → f3
  12. Point(f3) → I
  13. Vector(I, J) → h_1
  14. Point(f3) → K
  15. Vector(K, L) → i
  16. CurveCartesian(t, sqrt(t), t, 0, 9.2) → f4
  17. Point(f4) → M
  18. Vector(M, N) → j
  19. CurveCartesian(t, cbrt(t), t, -8.1, 8.1) → f5
  20. Point(f5) → O
  21. Vector(O, P) → k_1
  22. Point(f5) → Q
  23. Vector(Q, R) → l

AI Drawing Prompt Reference

Draw a parabola y=x^2, then pick a point A on it and draw a vector u from A to B. Next, draw a cubic function y=x^3, pick a point E on it and draw a vector w from E to F. Then, draw an absolute value function y=|x|, pick a point I on it and draw a vector h from I to J. Finally, draw a square root function y=√x, pick a point M on it and draw a vector j from M to N.
The prompt above was compiled from the original drawing commands and is for reference only.