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Drawing a Parabola by Jennifer Silverman

Drawing a Parabola by Jennifer Silverman
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2013-05-19 08:59
FunctionCoordinate GeometryGeometric ConstructionGraphing
In collections Exploring Conic Sections Drawing Conic Sections Exploring Conic Sections
This example demonstrates how a parabola is constructed, involving function graphing, coordinate geometry, and geometric construction. Key GeoGebra commands and objects used include Line, OrthogonalLine, Segment, Midpoint, Intersect, and Angle. Suitable for high school students learning about the geometric definition and properties of parabolas.

GeoGebra Commands & Parameters

  1. Line(B, C) → a
  2. OrthogonalLine(D, a) → b
  3. Segment(A, D) → c
  4. Midpoint(c) → E
  5. OrthogonalLine(E, c) → d
  6. Intersect(d, b) → B'
  7. Segment(A, B') → e
  8. Segment(B', D) → f
  9. Angle(C, D, B') → α

AI Drawing Prompt Reference

Draw a parabola by first creating a line and a perpendicular line, then finding the midpoint of a segment and drawing a perpendicular line from it, locating the intersection of the two perpendicular lines, connecting the starting point to the intersection, and then connecting the intersection to the foot of the perpendicular, finally marking the angle between the vertex and the foot of the perpendicular.
The prompt above was compiled from the original drawing commands and is for reference only.