fill in the equation for the graph.\ny = |x - ?| +

Explanation:

Step1: Identify the vertex of the absolute - value function

The vertex of an absolute - value function of the form $y = |x - h|+k$ is the point $(h,k)$. The vertex of the given graph is at the point $(- 3,2)$.

Step2: Determine the values of $h$ and $k$

For the function $y = |x - h|+k$, when the vertex is $(h,k)=(-3,2)$, we have $h=-3$ and $k = 2$.

Answer:

$y=|x-(-3)| + 2=|x + 3|+2$