The vertex of y = 1/2 |2x -6| + 1 is (3,1)
Step-by-step explanation
We can write the given function as:

Given an absolute value function y = a |x - h| + k, the vertex is (h, k)
This implies that the vertex has been shifted h units to the right. By comparing the rewriting equation with the standard,
The vertex of:

is (3, 1)
Answer: (3,1) option B