To be able to determine the correct state comparison, let's first determine the graph of f(x) = x² - 6x + 9.
We get,
The most obvious observation among the two graphs is that f(x) has a greater x-intercept than g(x).
When it comes to the y-intercept, at x = 0, f(x) = 9.
However at g(x), at y = 9, the x coordinate is not yet zero, thus, we can assume that at x = 0, the y-intercept of g(x) is greater than 9.
Therefore, the correct statement is:
The f (x) has a greater x-intercept and smaller y-intercept.
The answer is letter C.