Cosine Function Vertical Transformation Investigation
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This example demonstrates the vertical transformation rules of the cosine function graph. Key math concepts include cosine function, vertical translation, and function graph transformation. Construction highlights using GeoGebra commands/objects: Corner (corner points), Polygon (polygons), objects a, q, f, texts text1, text2, text3, points P, Cnr1, Cnr2, Cnr3, Cnr4, CN1, CN2, CN4, CN3, and others like Panel, cn1, cn2, cn3, cn4, Frame, cnr1, cnr2, cnr3, cnr4, pic1. Suitable for high school mathematics teaching on function graphs and transformations, helping students visually understand the translation properties of functions.
GeoGebra Commands & Parameters
Corner(1, 1) → Cnr1Corner(1, 2) → Cnr2Corner(1, 3) → Cnr3Corner(1, 4) → Cnr4Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4Polygon(Cnr1, Cnr2, Cnr3, Cnr4) → Frame, cnr1, cnr2, cnr3, cnr4
AI Drawing Prompt Reference
Draw a graph demonstrating the vertical transformation rules of the cosine function, including four corner points and a rectangle formed by these points, with the rectangle filled and labeled both inside and outside, while also plotting the cosine function and labeling key points and transformation properties for teaching the translation characteristics of function graphs.
The prompt above was compiled from the original drawing commands and is for reference only.