ANSWER :
(4, -3)
EXPLANATION :
From the problem, we have the function :
[tex]y=|x-4|-3[/tex]Note that an absolute value function in the form :
[tex]y=|x-h|+k[/tex]has a vertex at (h, k)
From here, we can say that h = 4 and k = -3
Therefore, the vertex is at (4, -3)
