Transformations of the Tangent Curve in Radians
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This example demonstrates the transformations of the tangent function graph in radians. The key math concepts involved include trigonometric functions and graph transformations (translations, scalings, etc.). It uses GeoGebra commands/objects: objects b, c, g, text1, text2, d, f. Suitable for high school mathematics teaching to understand the properties and transformation rules of the tangent function.
GeoGebra Commands & Parameters
Numeric b(1.0)Numeric c(1.0)g(x) = tan(x)Angle d(1.5707963267948966)f(x) = tan(b * x + d) + c
AI Drawing Prompt Reference
Draw the graph of the tangent function and demonstrate its transformations under different parameters. Start by plotting the basic tangent curve, then draw the transformed tangent curves with horizontal scaling, horizontal translation, and vertical translation based on the parameters, and label key points and parameter values to help understand the transformation rules of the tangent function's graph.
The prompt above was compiled from the original drawing commands and is for reference only.