MathPlotAI Logo MathPlotAI

Cosine Function Transformations by Whit Ford

Cosine Function Transformations by Whit Ford
Loading the math board and drawing, please wait…
2015-09-24 03:14
FunctionTrigonometrySlider Animation
This example uses sliders to demonstrate horizontal and vertical translations and dilations of a cosine function. Key mathematical concepts include trigonometric functions and function transformations. It utilizes GeoGebra commands such as sliders and graphing.

GeoGebra Commands & Parameters

  1. Numeric k(0.0)
  2. Numeric a(1.0)
  3. Numeric b(1.0)
  4. Numeric h(7.923062206316445E-8)
  5. Point A(-4.71238898038469, -2.0)
  6. f(x) = (a * cos((b * (x - h)))) + k
  7. (acos(((-k)) / a) / b + h, 0)
  8. (0, (a * cos(((-b) * h))) + k)

AI Drawing Prompt Reference

Draw a graph of a cosine function with transformations. The graph should include a cosine curve showing horizontal and vertical translations. The curve should move around a central point while maintaining its shape. Ensure the graph is clear and labeled to help understand the transformation process.
The prompt above was compiled from the original drawing commands and is for reference only.