Sample Problem

Describe the transformation from f to g where f(x)=x4 and g(x)=(1/3)x4.


To graph y=cf(x) where f(x) is the original function (in this case f(x) =x4),

If 0<c<1, the graph of y=f(x) is shrunk vertically by a factor of c. “C” is 1/3;

Therefore f(x) is transformed to g(x) by a vertical shrink by a factor of 1/3.