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From Table Values to Change

From Table Values to Change
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2015-07-12 21:12
VectorFunctionGraphing
This example demonstrates how to observe changes in a graph based on changes in table values. Key mathematical concepts include functions and vectors. Using GeoGebra commands such as objects c, a, A, B, C, etc., dynamic changes in the function graph can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Conic c
  2. Numeric a(7.5)
  3. (a, a^(2))
  4. (a + 0.5, (a + 0.5)^(2))
  5. (a + 1, (a + 1)^(2))
  6. (a + 1.5, (a + 1.5)^(2))
  7. (a + 2, (a + 2)^(2))
  8. (a + 3, (a + 3)^(2))
  9. (a + 2.5, (a + 2.5)^(2))
  10. x(A)
  11. x(B)
  12. x(C)
  13. x(D)
  14. x(E)
  15. x(F)
  16. x(G)
  17. (a + 3.5, (a + 3.5)^(2))
  18. (a + 4, (a + 4)^(2))
  19. x(H)
  20. x(I)
  21. (a + 4.5, (a + 4.5)^(2))
  22. x(J)
  23. (a + 5, (a + 5)^(2))
  24. (a + 5.5, (a + 5.5)^(2))
  25. x(K)
  26. x(L)
  27. (a + 6, (a + 6)^(2))
  28. x(M)
  29. y(A)
  30. y(B)
  31. y(C)
  32. y(D)
  33. y(E)
  34. y(F)
  35. y(G)
  36. y(H)
  37. y(I)
  38. y(J)
  39. y(K)
  40. y(L)
  41. y(M)
  42. B4 - B3
  43. B5 - B4
  44. B3 - B2
  45. B6 - B5
  46. C3 - C2
  47. C4 - C3
  48. C5 - C4
  49. C6 - C5
  50. E4 - E3
  51. E5 - E4
  52. E6 - E5
  53. B7 - B6
  54. B8 - B7
  55. B9 - B8
  56. B10 - B9
  57. B11 - B10
  58. B12 - B11
  59. B12 - B11
  60. B14 - B13

AI Drawing Prompt Reference

Draw a quadratic function graph starting from the point (7.5, 56.25), moving 0.5 units to the right and up to the corresponding quadratic function value for each point. Observe the curve formed by these points and note the changes in their x and y coordinates.
The prompt above was compiled from the original drawing commands and is for reference only.