Solution:
Given the function that could represent this situation;
[tex]f\mleft(x\mright)=-x^2+10x-21[/tex]For a clearer picture of the path of the fish, the graph of the function is;
From the graph, the boat is at;
[tex]\left(\right)\left(5,0\right)[/tex]Thus, the distance where the fish came out of the water and re-enter the water from the center of the boat is 2 feet.