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Transformations of Exponential Functions by shanlee

Transformations of Exponential Functions by shanlee
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2014-10-14 07:46
FunctionCoordinate GeometryTransformation
This example demonstrates transformations of exponential functions, including translations, stretches, and reflections. By adjusting parameters, you can observe the changes in the function's graph. Key mathematical concepts include function transformations, coordinate transformations, and vectors. GeoGebra commands used include Point, Intersect, and Segment. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Intersect(p, l, (0.5338562888353868, 1.7054965309463015)) → B
  3. Intersect(b, l, (0.5338562888353868, 1.7054965309463015)) → C
  4. Segment(B, A) → j
  5. Point(yAxis) → D
  6. Intersect(b, g, (1.2640593139774308, 3.5397613654280335)) → E
  7. Intersect(p, g, (1.2640593162898563, 3.539761373613468)) → F
  8. Segment(D, E) → n
  9. Segment(A, C) → m_1
  10. Intersect(b, yAxis, (0, 1)) → G
  11. Intersect(f, xAxis) → H
  12. Intersect(f, xAxis) → I
  13. Intersect(f, xAxis) → J
  14. Intersect(f, xAxis) → K
  15. Intersect(f, xAxis) → L
  16. Intersect(f, xAxis) → M
  17. Intersect(b, f, (-138.11049641890662, 1.0456191110327105E-60)) → N
  18. Intersect(f, xAxis) → O
  19. Intersect(f, xAxis) → P
  20. Intersect(f, xAxis) → Q
  21. Intersect(b, f, (-122.08461305005319, 9.535121405855426E-54)) → R
  22. Intersect(p, g, (1.2640593162898563, 3.539761373613468)) → S
  23. Segment(D, S) → m