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Parabola Exploration by Amy Young

Parabola Exploration by Amy Young
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2014-06-19 00:13
FunctionCoordinate GeometryGraphing
This example demonstrates how the values of a and c change the shape of the parabola. Key mathematical concepts include the properties of parabolas and function graphs. Using GeoGebra commands such as OrthogonalLine and Intersect, dynamic changes in the parabola can be observed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. OrthogonalLine(A, yAxis) → d
  2. OrthogonalLine(B, yAxis) → e
  3. OrthogonalLine(C, yAxis) → g
  4. OrthogonalLine(D, yAxis) → h
  5. OrthogonalLine(G, xAxis) → i
  6. OrthogonalLine(F, xAxis) → j
  7. OrthogonalLine(E, xAxis) → k
  8. OrthogonalLine(B, xAxis) → l
  9. OrthogonalLine(C, xAxis) → m
  10. OrthogonalLine(D, xAxis) → n
  11. Intersect(g, i) → H
  12. Intersect(e, j) → I
  13. Intersect(d, k) → J
  14. Intersect(d, l) → K
  15. Intersect(e, m) → L
  16. Intersect(g, n) → M
  17. Segment(A, K) → p
  18. Segment(K, B) → q
  19. Segment(B, L) → r
  20. Segment(L, C) → s
  21. Segment(C, M) → t
  22. Segment(M, D) → a_1
  23. Segment(A, J) → b_1
  24. Segment(J, E) → c_1
  25. Segment(E, I) → d_1
  26. Segment(I, F) → e_1
  27. Segment(F, H) → f_1
  28. Segment(H, G) → g_1
  29. Distance(a_1, s) → o
  30. Distance(q, c_1) → u
  31. Distance(e_1, g_1) → v
  32. Point(j_1) → P
  33. Intersect(f, xAxis) → Q, R