MathPlotAI Logo MathPlotAI

Function Mapping Diagram & Coordinate Geometry Demo

Function Mapping Diagram & Coordinate Geometry Demo
Loading the math board and drawing, please wait…
2017-11-18 01:59
VectorFunctionCoordinate GeometryDerivativeGraphing
In collections Graphs and Mapping Diagrams
This example demonstrates function relationships and coordinate transformations through mapping diagrams, spreadsheets, and graphs; involves core math concepts like functions, coordinate geometry, derivatives, and transformations; constructed using GeoGebra commands/objects such as Point, If, Vector, Textfield, Sequence, Zip, Line, Intersect; suitable for high school and above students to understand function properties and coordinate geometry drawing.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. If(d ≟ 1, y(A) - f(y(A)), 0) → align
  3. Vector(A, B) → u
  4. Textfield(f) → inputBox1
  5. Textfield(f) → inputBox2
  6. Textfield(length) → inputBox4
  7. Sequence(t, t, y(A) - (n * Δx), y(A) + (n * Δx), Δx) → t_*
  8. Zip((k, f(k)), k, t_*) → Graphpts
  9. Zip((0, k), k, t_*) → SourcePtsMD
  10. Zip(f(k), k, t_*) → ft_*
  11. Zip((2, (y_{zoom} * (k + align))), k, ft_*) → TargPts
  12. Zip(Vector[(0, k), (2, (y_{zoom} * (m + align)))], k, t_*, m, ft_*) → MD
  13. Vector(X_1, Y_1) → v
  14. Line(X_1, Y_1) → g
  15. Line(A, B) → h
  16. Intersect(h, g) → C