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GeoGebraGeoGebra Classroom

Exponential Explorer

Changing the value of "a" with the slider changes the base on the blue curve, which is y=c*a^(x-h) + k. The red curve is y=c*(1/a)^(x-h) + k, i.e. its base is the reciprocal of the base for the blue exponential function. The parameter "c" stretches/compresses the graphs vertically, while "h" slides the graph left/right and "k" moves them up and down. The beginning values of c, h, and k are set so that there is no stretching or sliding of graphs. The dotted green line (which is along the y=axis initially) is the line y=k, which is the horizontal asymptote of the graphs.