Vertically transform sine, stretch and translate together
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Sine and Cosine Functions
This example demonstrates how to modify the sine function's graph through vertical transformation, stretching, and translation using sliders. Key math concepts include function transformations, properties of the sine function, and geometric transformations. GeoGebra commands used are sliders a, d, f for vertical shift, stretch, and translation respectively, text1 for annotations, points A and B, and function g. Suitable for high school mathematics teaching to understand and apply function transformation concepts.
GeoGebra Commands & Parameters
Numeric a(1)Numeric d(0)f(x) = (a * sin(x°)) + d(90, a + d)(270, (-a) + d)y = d