Chapter 10 - Section 10.4 - Nonlinear Inequalities and Systems of Inequalities - Exercise Set - Page 628: 8

Please see the graph.

$y > (x+3)^2 +2$ Since the graph has a greater than sign, we use a dotted line for the graph. We pick a point to determine what side of the graph to shade—we pick $(2,2)$. $y > (x+3)^2 +2$ $2 > (2+3)^2 +2$ $2 > 5^2 +2 $ $2 > 25+2$ $2 > 27$ (false) We shade the side of the graph without the point.