MathPlotAI Logo MathPlotAI

Reflection Grid 2

Reflection Grid 2
Loading the math board and drawing, please wait…
2016-11-29 12:37
FunctionTrigonometryCoordinate GeometryCalculusGeometric Construction
This example demonstrates the process of graphing quadratic functions using reflection grids and geometric transformations. It involves core math concepts like reflection, quadratic functions, cosine, upper and lower sums/Riemann sums, volume, and coordinates. The construction utilizes GeoGebra commands/objects such as Polygon, Line, and Mirror. Suitable for high school mathematics teaching to understand function graphing and applications of geometric transformations.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Polygon(A', B', C') → poly3, f, d, e
  3. Line(D, E) → g
  4. Mirror(A, g) → target1
  5. Mirror(B, g) → target2
  6. Mirror(C, g) → target3
  7. Polygon(target1, target2, target3) → poly1', c'_1, a'_1, b'_1