Answer: The function g(x) will have a simplified rule of g(x) = 3/9 x^2 + 12.
The vertical compression by a factor of 1/3 means that the y-values of the graph of f(x) will be multiplied by 1/3 to get the corresponding y-values of the graph of g(x). So, the coefficient of x^2 in the rule for g(x) will be 3/9 or 1/3, and the constant term remains the same as 12.
Simplifying 3/9, we get 1/3, so the simplified function rule for g is g(x) = 1/3 x^2 + 12.
Explanation: