Question

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

Explanation:

Step1: Identify vertex (h,k)

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

Step2: Find slope a (right side)

Use points (0,0) and (2,2):
$a = \frac{2-0}{2-0} = 1$

Step3: Substitute into vertex form

Substitute $a=1$, $h=0$, $k=0$ into $a|x-h|+k$.
<Expression>
$g(x) = 1|x - 0| + 0$
</Expression>

Step4: Simplify the expression

Simplify to get the final function.
<Expression>
$g(x) = |x|$
</Expression>

Answer:

$g(x) = |x|$