Answer
Solution set as $x$-intercepts = $\{2,3\}$
The graph of equation $y=(x+2)^{2}-9(x+2)+20 $ is shown in Graph$(f)$
Work Step by Step
$y=(x+2)^{2}-9(x+2)+20 $
To find $x$ -intercept, $y=0$
$(x+2)^{2}-9(x+2)+20 =0$
Let $u= x+2$
$u^{2}-9u+20 =0$
By factoring,
$(u-4)(u-5)=0$
$u=4$ or $u=5$
Let $u=4$
Replace $u$ with $x+2$
$x+2 = 4$
$x= 2$
Let $u=5$
$x+2 = 5$
$x=3$
Solution set as $x$-intercepts = $\{2,3\}$
The graph of equation $y=(x+2)^{2}-9(x+2)+20 $ is shown in Graph$(f)$
