The absolute value equation of the graph is:
y = |x - 3| - 1
How to find the equation?
A general absolute value function of the form:
y = |x -a| + b
Has a vertex at the point (a, b).
So complete the equation we only need to find the coordinates of the vertex. Looking at the graph we can see that the vertex is at (3, -1)
Then we have:
a = 3
b = -1
The equation of the graph is:
y = |x - 3| - 1