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Quiz: Graphing Ellipses (EQ in Standard Form)

Quiz: Graphing Ellipses (EQ in Standard Form)
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2019-08-31 00:01
Coordinate GeometryGraphing
This example demonstrates how to graph ellipses using their standard equations. Key mathematical concepts include the geometric properties and equation representation of ellipses. It utilizes commands such as Point, Midpoint, Mirror, Segment, Random, Min, and Ellipse in GeoGebra. Suitable for high school math education and beginners learning to graph ellipses.

GeoGebra Commands & Parameters

  1. Point(Ray[A, A + (1, 0)]) → B
  2. Midpoint(A, B) → C
  3. Point(Ray[C, C + (0, 1)]) → D
  4. Mirror(D, C) → D'
  5. Segment(C, B) → h
  6. Random(-10, 10) → m
  7. Segment(C, D) → v
  8. Min(h, v) → a
  9. Ellipse((x(C) + sqrt(h^(2) - v^(2)), y(C)), (x(C) - sqrt(h^(2) - v^(2)), y(C)), h) → c
  10. Random(-10, 10) → n
  11. Ellipse((x(C), sqrt(v^(2) - h^(2)) + y(C)), (x(C), (-sqrt(v^(2) - h^(2))) + y(C)), v) → d
  12. Random(0, 1) → hztl
  13. Random(1, 10) → p
  14. Random(1, 10) → q