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Sine Graph Transformations

Sine Graph Transformations
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2014-03-23 11:52
FunctionTrigonometryCoordinate GeometryGraphing
This example demonstrates the basic sine graph and its transformations in the coordinate system. Core math concepts include sine function, coordinate transformations, function shifts, and scalings. It uses GeoGebra commands like sliders, texts, functions, and coordinate geometry. Suitable for high school mathematics teaching to understand the transformation rules of trigonometric function graphs.

GeoGebra Commands & Parameters

  1. Numeric A(1.0)
  2. Numeric B(0.0)
  3. Numeric E(0.0)
  4. Numeric n(1.0)
  5. y = B
  6. x = E
  7. p(x) = sin(x)
  8. f(x) = (A * sin((n * (x - E)))) + B

AI Drawing Prompt Reference

Draw the basic sine function graph in a coordinate system and show its transformations including translations and scalings. Use sliders to control amplitude, phase, and vertical shift, visually demonstrating the transformation rules of the sine function for teaching purposes.
The prompt above was compiled from the original drawing commands and is for reference only.