Question 158165
Any equation in the form of {{{y=abs(x-h)+k}}} has the vertex (h,k). So in this case, {{{h=5}}} and {{{k=3}}} which means that the vertex is (5,3)



Here's a graph to verify the answer.



{{{ drawing(500, 500, -7, 7, -7, 7,
 grid(1),
 graph( 500, 500, -7, 7, -7, 7,abs(x-5)+3)

)}}} Graph of {{{y=abs(x-5)+3}}}