Exercise 10 Page 169

First, we will make a table of values to graph these functions. After that, we will go through all the transformations from the graph of $f (x) = ∣ x ∣$ to the graph of $g (x) = ∣ 2 x + 4 ∣ .$

Graphs

Let's make a table of values for each of the functions. After that, we will plot the ordered pairs that we find and connect them. Let's start with $f (x) .$

$x$	$∣ x ∣$	$f (x)$
$- 4$	$∣ - 4 ∣$	$4$
$- 2$	$∣ - 2 ∣$	$2$
$0$	$∣ 0 ∣$	$0$
$2$	$∣ 2 ∣$	$2$
$4$	$∣ 4 ∣$	$4$

Now, let's make a table for

g (x)