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Hyperbola Graph & Equation Anatomy

Hyperbola Graph & Equation Anatomy
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2017-01-11 19:25
FunctionCoordinate GeometryGeometric ConstructionGraphing
This example demonstrates the relationship between the graph and equation structure of a hyperbola in standard form. Key math concepts include hyperbola definition, foci, asymptotes, real and imaginary axes. Construction highlights involve GeoGebra commands like Center, Segment, Focus, Line to draw essential elements. Suitable for high school coordinate geometry learning and review.

GeoGebra Commands & Parameters

  1. Center(c) → A
  2. Segment(A, B) → d
  3. Segment(A, C) → e
  4. Focus(c) → D, E
  5. Segment(G, H) → f
  6. Segment(H, J) → g
  7. Segment(J, I) → i
  8. Segment(I, G) → j
  9. Line(I, H) → l
  10. Line(G, J) → m
  11. Focus(q) → M, N
  12. Segment(A, K) → r
  13. Segment(A, L) → s
  14. Segment(P, O) → t
  15. Segment(O, R) → a_1
  16. Segment(R, Q) → b_1
  17. Segment(Q, P) → c_1
  18. Line(Q, O) → d_1
  19. Line(P, R) → e_1