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Basketball Hoops #02 - Parabolas in Vertex Form

Basketball Hoops #02 - Parabolas in Vertex Form
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2015-11-20 05:14
FunctionCoordinate GeometryTransformation
This example demonstrates how to use the vertex form of a parabola to make a basketball pass through three points: the vertex and two symmetric points. Key mathematical concepts include parabolas and special points. GeoGebra commands used include Textfield, Corner, Line, Intersect, Rotate, etc. Suitable for middle school and above students to learn about coordinate geometry and parabolas.

GeoGebra Commands & Parameters

  1. Textfield(f) → inputBox1
  2. Corner(1) → bottomLeftCorner
  3. Corner(2) → bottomRightCorner
  4. Line(bottomLeftCorner, bottomRightCorner) → bottomEdge
  5. Corner(4) → topLeftCorner
  6. Corner(3) → topRightCorner
  7. Line(topLeftCorner, topRightCorner) → upperEdge
  8. Intersect(f, bottomEdge) → M, N
  9. Intersect(f, upperEdge) → O, P
  10. Rotate(B_1, atan(g'(x(B))), B) → B_{1rot}
  11. Rotate(B_2, atan(g'(x(B))), B) → B_{2rot}
  12. Rotate(B_3, atan(g'(x(B))), B) → B_{3rot}
  13. Rotate(B_4, atan(g'(x(B))), B) → B_{4rot}
  14. Rotate(A_1, atan(g'(x(A))), A) → A_{1rot}
  15. Rotate(A_2, atan(g'(x(A))), A) → A_{2rot}
  16. Rotate(A_3, atan(g'(x(A))), A) → A_{3rot}
  17. Rotate(A_4, atan(g'(x(A))), A) → A_{4rot}
  18. Rotate(C_1, atan(g'(x(C))), C) → C_{1rot}
  19. Rotate(C_2, atan(g'(x(C))), C) → C_{2rot}
  20. Rotate(C_3, atan(g'(x(C))), C) → C_{3rot}
  21. Rotate(C_4, atan(g'(x(C))), C) → C_{4rot}