To evaluate the function \( f(x) = -x^2 + 1 \) for \( x = -3 \), we substitute \(-3\) into the function:
\[ f(-3) = -(-3)^2 + 1 \]
Calculating \((-3)^2\):
\[ (-3)^2 = 9 \]
Now substituting back into the function:
\[ f(-3) = -9 + 1 \]
Now, simplifying:
\[ f(-3) = -8 \]
Thus, the value of \( f(-3) \) is \(-8\). The correct choice is:
–8