- John Golden
This sketch shows the effects of horizontal and vertical shifting and scaling on the graph of a cubic. 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. yshifted(x)=f(x-hshift)+vshift yscaled(x)=vscale*f(hscale*x) ytransformed(x)=vscale*f(hscale*(x-hshift))+vshift Note that you can change the scale of the graph displayed by clicking and dragging the axes.
You can enter a new function in the input bar by typing func(x) = ... Where you put your desired function in for the ... Give exponents in Geogebra with ∧ Most function abbreviations are what you'd guess: sqrt( ), abs ( ), etc.