[tex]p(x)=(\frac{1}{3}x)^3-3[/tex]
p(x) is a cubic polynomial, then if might be expressed as a transformation os a cubic function f(x) = x³.
This transformation is given by:
[tex]p(x)=f(\frac{1}{3}x)-3=(\frac{1}{3}x)^3-3[/tex]
Therefore, p(x) is the function f(x) translated 3 units down and widered by a factor of 1/3.
The graph of f(x) and p(x) is shown below:
