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Transformations of the Sine Function: Changing Amplitude and Frequency

Transformations of the Sine Function: Changing Amplitude and Frequency
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2017-11-18 02:15
FunctionTrigonometryTransformation
This example demonstrates how to transform a sine wave by changing its amplitude and frequency. Key mathematical concepts include trigonometric functions and function transformations. GeoGebra commands used include objects A1, B1, f, a, b, h, and g. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. A1(x) = x
  2. B1(x) = x^(2)
  3. f(x) = sin(x)
  4. Numeric a(1)
  5. Numeric b(1.01)
  6. h(x) = sin((b * x))
  7. g(x) = (a * sin(x))

AI Drawing Prompt Reference

Draw a coordinate system with a basic sine curve. Then add a sine curve with increased frequency (shorter period) and another with increased amplitude (taller peaks). Also include a straight line and a parabola as reference curves. Use distinct colors for each curve and label the axes.
The prompt above was compiled from the original drawing commands and is for reference only.