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Transformations of Exponential Functions by senseiphil

Transformations of Exponential Functions by senseiphil
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2014-11-23 22:31
FunctionTransformationGraphing
This example demonstrates the transformations of exponential function graphs, including translations and scalings. It involves core mathematical concepts such as the properties of exponential functions and transformation rules (translations, scalings). GeoGebra commands and objects like Point, Intersect, Segment are used to construct the function graphs and transformation processes. Suitable for high school mathematics teaching to understand the effects of function transformations on graphs.

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, 1.0456191110327026e-60)) → N
  18. Intersect(f, xAxis) → O
  19. Intersect(f, xAxis) → P
  20. Intersect(f, xAxis) → Q
  21. Intersect(b, f, (-122.08461305005319, 9.535121405855416e-54)) → R
  22. Intersect(p, g, (1.2640593162898563, 3.539761373613468)) → S
  23. Segment(D, S) → m