Question

write your answer in the form ( a|x - h| + k ), where ( a ), ( h ), and ( k ) are integers or simplified fractions.
( g(x) = )

Explanation:

Step1: Identify vertex of the graph

The vertex (h,k) of the absolute value graph is at (0,0), so $h=0$, $k=0$.

Step2: Determine slope (a)

Pick a point on the right line, e.g., (2,2). Substitute into $a|x-h|+k$:
$2 = a|2-0|+0$
$2 = 2a$
$a = 1$

Step3: Write the function

Substitute a=1, h=0, k=0 into the form.

Answer:

$g(x) = |x|$