Evaluate the Function f(x)=-x^2+1 for x=-3

$f (x) = - x^{2} + 1$ for $x = - 3$

Replace the variable $x$ with $- 3$ in the expression.

$f (- 3) = - {(- 3)}^{2} + 1$

Simplify the result.

Simplify each term.

Raise $- 3$ to the power of $2$ .

$f (- 3) = - 1 \cdot 9 + 1$

Multiply $- 1$ by $9$ .

$f (- 3) = - 9 + 1$

Add $- 9$ and $1$ .

$f (- 3) = - 8$

The final answer is $- 8$ .

$- 8$