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The 'b' Effect

The 'b' Effect
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2015-10-20 02:14
FunctionSequenceTransformation
This example demonstrates the impact of parameter b on the graph of a quadratic function. Key mathematical concepts include quadratic functions, parabolas, and transformations. Using commands like Intersect, Segment, and Sequence, the dynamic changes in the graph due to b can be shown. Suitable for high school mathematics education and learning about quadratic function transformations.

GeoGebra Commands & Parameters

  1. Intersect(f, m, 1) → G
  2. Intersect(f, l, 1) → H
  3. Intersect(f, j, 1) → I
  4. Intersect(f, i, 1) → J
  5. Intersect(f, g, 1) → K
  6. Intersect(f, e, 1) → L
  7. Intersect(f, d, 1) → M
  8. Intersect(t, d) → A
  9. Intersect(t, e) → B
  10. Intersect(t, g) → C
  11. Intersect(t, j) → D
  12. Intersect(t, l) → E
  13. Intersect(t, m) → F
  14. Segment(A, M) → n
  15. Segment(B, L) → p
  16. Segment(C, K) → q
  17. Segment((0, 0), J) → r
  18. Segment(D, I) → s
  19. Segment(F, G) → a_1
  20. Segment(E, H) → c_1
  21. Sequence((a, f(a)), a, -10, 10) → list1
  22. Sequence(x = w, w, -10, 10) → list2
  23. Intersect(t, q_1, 1) → N
  24. Intersect(t, p_1, 1) → O
  25. Intersect(t, n_1, 1) → P
  26. Intersect(t, m_1, 1) → Q
  27. Intersect(t, l_1, 1) → R
  28. Intersect(t, k_1, 1) → S
  29. Intersect(t, j_1, 1) → T
  30. Intersect(t, i_1, 1) → U
  31. Intersect(t, h_1, 1) → V
  32. Intersect(t, g_1) → W
  33. Intersect(t, f_1, 1) → Z
  34. Intersect(t, e_1, 1) → A_1
  35. Intersect(t, d_1, 1) → B_1
  36. Intersect(t, b_1, 1) → C_1
  37. Intersect(f, b_1, 1) → D_1
  38. Intersect(f, d_1, 1) → E_1
  39. Intersect(f, e_1, 1) → F_1
  40. Intersect(f, f_1, 1) → G_1
  41. Intersect(f, g_1, 1) → H_1
  42. Intersect(f, h_1, 1) → I_1
  43. Intersect(f, i_1, 1) → J_1
  44. Intersect(f, j_1, 1) → K_1
  45. Intersect(f, k_1, 1) → L_1
  46. Intersect(f, l_1, 1) → M_1
  47. Intersect(f, m_1, 1) → N_1
  48. Intersect(f, n_1, 1) → O_1
  49. Intersect(f, p_1, 1) → P_1
  50. Intersect(f, q_1, 1) → Q_1
  51. Segment(D_1, C_1) → r_1
  52. Segment(E_1, B_1) → s_1
  53. Segment(F_1, A_1) → t_1
  54. Segment(G_1, Z) → a_2
  55. Segment(H_1, W) → b_2
  56. Segment(V, I_1) → c_2
  57. Segment(U, J_1) → d_2
  58. Segment(K_1, T) → e_2
  59. Segment(L_1, S) → f_2
  60. Segment(M_1, R) → g_2
  61. Segment(Q, N_1) → h_2
  62. Segment(O_1, P) → i_2
  63. Segment(P_1, O) → j_2
  64. Segment(Q_1, N) → k_2