Exercise 25 Page 9

The given function is an absolute value function, so its parent function is $f (x) = ∣ x ∣ .$ We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.

Graphing the Functions

To graph both of the functions, we will use the table of values. We will choose a variety of $x -$ values: at least one negative, $0,$ and at least one positive.

$x$	$f (x) = ∣ x ∣$	$h (x) = 3 ∣ x ∣$
$- 2$	$∣ - 2 ∣ = 2$	$3 ∣ - 2 ∣ = 6$
$0$	$∣ 0 ∣ = 0$	$3 ∣ 0 ∣ = 0$
$2$	$∣ 2 ∣ = 2$	$3 ∣ 2 ∣ = 6$