Question

What is the function of f and gives the correct rule?

Answer 1

The function

`g(x)=(1)/(3)f(x)`

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:

`g(x)=2x^3+x^2-2x+3`

which corresponds to the second option.