Exploring Hyperbola Graphs
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This example demonstrates how students can use sliders to explore the effects of parameters in the hyperbola equation. It shows dynamic changes in the hyperbola graph by adjusting parameters. Key math concepts include hyperbola equation, the impact of parameters on the shape and position of the graph. GeoGebra commands/objects used: a (semi-major axis), h (center x-coordinate), k (center y-coordinate), f (focal distance), b (semi-minor axis), c (focal length). Suitable for high school coordinate geometry teaching or student self-exploration.
GeoGebra Commands & Parameters
Numeric a(2.6)Numeric h(4.3)Numeric k(2.5)f(x) = a / (x - h) + kx = hy = k