Explanation:
Given the absolute function
f(x) = | x - 2 | - 3
Given that: y = a| x - h| + k
'a' in this expression tells us whether the graph is facing upward or downward side
The vertex is (h, k)
Relating the two expressions together
-h = -2
h = 2
k = -3
The vertex is (2, -3)