The function
[tex]g(x)=\frac{1}{3}f(x)[/tex]
denotes a vertical compression by a factor of 1/3. A vertical compression is the squeezing of the graph towards the x-axis and is when the factor is between 0 and 1.
So, the answer is:
[tex]g(x)=2x^3+x^2-2x+3[/tex]
which corresponds to the second option.
