### Home > AC > Chapter 10 > Lesson 10.2.3 > Problem10-72

10-72.

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?

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

2. Find the roots (real or imaginary).

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