The graph and table below represent two different quadratic functions.

1. Which function has a smaller minimum value? Explain how you know.

   Hint (a):

   Are there any points given for $f(x)$ that are lower than those on $g(x)$?

   Answer (a):

   $y = f(x)$; $f(0) = -3$ and $f(1) = -2$, both function values
   are smaller than the minimum value of $g(0) = 9$.

2. Determine the roots of $g(x) = x^2 + 9$. Use your results to write the expression $x^2 + 9$ as a product.

   Hint (b):

   Refer to problem 10-37 part (c) for additional help.