Jessie looked at the rule $y=(x−11)^2+4$ and stated, “The graph of this rule has no $x$-intercepts!”  

1. How could she know without graphing?

   Hint (a):

   The graph is a parabola. Which direction does it open and where is its vertex?

2. Find the roots (real or imaginary).

   Answer (b):

   $\textit{x}=11\pm\sqrt{-4}$