$f(x)=-(x+6)^{2}+4$

Step 1 ：Given the function: \(f(x) = -(x+6)^{2} + 4\)

Step 2 ：Substitute x = 2 into the function: \(f(2) = -((2+6)^{2}) + 4\)

Step 3 ：Calculate the result: \(f(2) = -((8)^{2}) + 4\)

Step 4 ：\(f(2) = -(64) + 4\)

Step 5 ：\(f(2) = -60\)

Step 6 ：\(\boxed{-60}\)