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Cosine Graph with Transformations

Cosine Graph with Transformations
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2014-03-23 11:46
FunctionTrigonometryTransformation
This example demonstrates a basic cosine graph in radians and applies transformations such as translation and scaling to help students understand the pattern of changes in the cosine graph. By adjusting parameters, students can observe the effects of transformations on the graph dynamically. The core mathematical concepts involved include cosine functions and function transformations. Using GeoGebra commands like slider animation and function graphing, the example provides a dynamic visualization of the changes in the cosine graph. Suitable for high school mathematics education.

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) = cos(x)
  8. f(x) = (A * cos((n * (x - E)))) + B

AI Drawing Prompt Reference

Draw a basic cosine function graph and show its translation and scaling transformation effects, adjusting parameters to observe the impact of transformations on the graph, focusing on cosine functions and function transformations, suitable for high school mathematics education.
The prompt above was compiled from the original drawing commands and is for reference only.