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Hyperbola - Vertical Opening

Hyperbola - Vertical Opening
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2020-04-13 17:53
FunctionCoordinate Geometry
This example demonstrates a hyperbola opening vertically. It covers the basic concepts of hyperbolas, including the center, vertices, and foci. Using GeoGebra commands like Segment and Line, it dynamically illustrates the construction of the hyperbola. Suitable for high school mathematics education and learning, particularly in coordinate geometry and hyperbolas.

GeoGebra Commands & Parameters

  1. Segment(C1, C2) → d
  2. Segment(C2, C3) → e
  3. Segment(C3, C4) → f
  4. Segment(C4, C1) → g
  5. Line(C4, C2) → i
  6. Line(C1, C3) → j

AI Drawing Prompt Reference

Draw a vertically opening hyperbola, showing its center, vertices, and foci. Start by drawing a rectangle, then connect its diagonals. Next, draw two lines through the intersection point of the diagonals, parallel to the rectangle's sides and extending outside it to form the asymptotes of the hyperbola. Finally, connect the diagonals with straight lines to complete the dynamic construction of the hyperbola.
The prompt above was compiled from the original drawing commands and is for reference only.