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Vertex Form of a Quadratic Function by Mark Beckwith

Vertex Form of a Quadratic Function by Mark Beckwith
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2017-04-23 01:48
FunctionCoordinate Geometry
In collections Algebra 1
This example demonstrates the vertex form of a quadratic function, involving key concepts of quadratic functions. By adjusting parameters a, b, and c, you can observe changes in the quadratic function's graph. The construction uses commands like Vector and Parabola in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Vector(J_{11}, J_1) → u
  2. Vector(J_{22}, J_2) → v
  3. Vector(J_{33}, J_3) → w
  4. Vector(J_{44}, J_4) → d
  5. Vector(J_{55}, J_5) → e
  6. Vector(K_{11}, K_1) → i
  7. Vector(K_{22}, K_2) → j
  8. Vector(K_{33}, K_3) → k
  9. Vector(K_{44}, K_4) → l
  10. Vector(K_{55}, K_5) → n
  11. Vector(L_2, L_{22}) → q
  12. Vector(L_3, L_{33}) → r
  13. Vector(L_4, L_{44}) → s
  14. Vector(L_5, L_{55}) → t
  15. Vector(L_6, L_{66}) → u_1
  16. Vector(L_7, L_{77}) → v_1
  17. Vector(L_8, L_{88}) → w_1
  18. Vector(L_2, L_{222}) → d_1
  19. Vector(L_3, L_{333}) → e_1
  20. Vector(L_4, L_{444}) → f_1
  21. Vector(L_5, L_{555}) → g_1
  22. Vector(L_6, L_{666}) → h_1
  23. Vector(L_7, L_{777}) → i_1
  24. Vector(L_8, L_{888}) → j_1
  25. Vector(L_9, L_{999}) → k_1
  26. Vector(L_9, L_{99}) → d_2
  27. Vector(M_2, M_{22}) → d_3
  28. Vector(M_3, M_{33}) → d_4
  29. Vector(M_4, M_{44}) → d_5
  30. Vector(M_5, M_{55}) → d_6
  31. Vector(M_6, M_{66}) → d_7
  32. Vector(M_7, M_{77}) → d_8
  33. Vector(M_8, M_{88}) → d_9
  34. Vector(M_9, M_{99}) → d_{10}
  35. Vector(M_2, M_{222}) → d_{11}
  36. Vector(M_3, M_{333}) → d_{22}
  37. Vector(M_4, M_{444}) → d_{33}
  38. Vector(M_5, M_{555}) → d_{44}
  39. Vector(M_6, M_{666}) → d_{55}
  40. Vector(M_7, M_{777}) → d_{66}
  41. Vector(M_8, M_{888}) → d_{77}
  42. Vector(M_9, M_{999}) → d_{88}
  43. Vector(N_1, N_{11}) → c_{11}
  44. Vector(N_2, N_{22}) → c_{22}
  45. Vector(N_3, N_{33}) → c_{33}
  46. Vector(N_4, N_{44}) → c_{44}
  47. Vector(N_5, N_{55}) → c_{55}
  48. Vector(N_6, N_{66}) → c_{66}
  49. Vector(N_7, N_{77}) → c_{77}
  50. Vector(N_8, N_{88}) → c_{88}
  51. Vector(N_9, N_{99}) → c_{99}
  52. Vector(N_1, N_{111}) → c_{111}
  53. Vector(N_2, N_{222}) → c_{222}
  54. Vector(N_3, N_{333}) → c_{333}
  55. Vector(N_4, N_{444}) → c_{444}
  56. Vector(N_5, N_{555}) → c_{555}
  57. Vector(N_6, N_{666}) → c_{666}
  58. Vector(N_7, N_{777}) → c_{777}
  59. Vector(N_8, N_{888}) → c_{888}
  60. Vector(N_9, N_{999}) → c_{999}