Question

How do the graphs of f(x)=x^3 and g(x)=(1/3x)^3 relate?

Answer 1

Both graphs have the same exponential degree of 3. The only difference between the two is that g(x) is expanded to a scale factor of 3, due to the coefficient being 1/3. 

Answer 2

Graph of g(x) is the transformation of the graph of f(x) The graph of f(x) is: while of g(x) is graphed We can see the g(x) is f(x) after a reflection on the y-axis and a horizontal compression by a factor of 1/3