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Tangent Graph Transformations

Tangent Graph Transformations
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2019-02-04 02:02
FunctionTrigonometryGraphing
In collections Trigonometric graph transformations in degrees
This example demonstrates transformations of the tangent function graph in degrees, including translations, stretches, and compressions. Key math concepts involve tangent function properties and transformation rules (translations, stretches). GeoGebra commands/objects used: a (translation), b (stretch factor), c (initial phase), d (vertical stretch), f (function parameter), g (display option). Suitable for high school mathematics teaching to understand how graph transformations affect function properties.

GeoGebra Commands & Parameters

  1. Numeric a(1)
  2. Numeric b(1)
  3. Numeric c(0)
  4. Numeric d(0)
  5. f(x) = (a * tan(((b * x))° + c)) + d
  6. g: y = tan(x°)

AI Drawing Prompt Reference

Draw the graph of a tangent function to demonstrate transformations including translations, stretches, and compressions. Start with the basic tangent function graph, then show the transformed graphs by applying horizontal translations, vertical stretches, compressions, and phase shifts, labeling the key transformation parameters and their effects on the function's graph.
The prompt above was compiled from the original drawing commands and is for reference only.