Exercise 29 Page 160

To graph the functions without going through the entire process of transforming the parent function, we can make two tables of values. Then, we only need to plot and connect the obtained points and compare the graphs.

Graph

Let's begin with creating a table of values of function $p .$

$x$	$∣ x + 1 ∣ - 2$	Simplify	$p (x)$
$- 5$	$∣ - 5 + 1 ∣ - 2$	$∣ - 4 ∣ - 2$	$2$
$- 3$	$∣ - 3 + 1 ∣ - 2$	$∣ - 2 ∣ - 2$	$0$
$- 1$	$∣ - 1 + 1 ∣ - 2$	$∣ 0 ∣ - 2$	$- 2$
$1$	$∣ 1 + 1 ∣ - 2$	$∣ 2 ∣ - 2$	$0$
$3$	$∣ 3 + 1 ∣ - 2$	$∣ 4 ∣ - 2$	$2$