Evaluate the function $f(x)=-x^{2}+2$ at the given value of the variable a. $f(2)$ b. $f(-4)$ a. $f(2)=$ (Simplify your answer.)

Step 1 ：The function \(f(x)\) is given as \(-x^{2}+2\). To find the value of the function at a specific point, we need to substitute the given value of \(x\) into the function. In this case, we are asked to find \(f(2)\), so we need to substitute \(2\) for \(x\) in the function.

Step 2 ：Substituting \(2\) for \(x\) in the function gives us \(f(2) = -2^{2}+2 = -4+2 = -2\).

Step 3 ：So, the final answer is \(f(2) = \boxed{-2}\).