Graph Transformations

This sketch shows the effects of horizontal and vertical shifting and scaling on the graph of a cubic.[br][br]The original function is f(x)=(1/12)(x+3)(x-1)(x-4). The 1/12 is to get a good picture in terms of y-values.[br][br]yshifted(x)=f(x-hshift)+vshift[br]yscaled(x)=vscale*f(hscale*x)[br]ytransformed(x)=vscale*f(hscale*(x-hshift))+vshift[br][br]Note that you can change the scale of the graph displayed by clicking and dragging the axes.
Graph Transformations

Information: Graph Transformations