Answer:
Option D.
Step-by-step explanation:
The vertex form of an absolute function is
 
where, a is a constant, (h,k) is vertex.
It is given that, vertex of an absolute function is (2,3). So, h=2 and k=3.
 ...(1)
   ...(1)
It crosses the x-axis at (5,0). So put x=5 and y=0 to find the value of a.
 
 
 
Put a=-1 in (1).
 
 
Now, put y=0, to find the equation for this absolute value function when y=0.
 
Therefore, the correct option is D.