Evaluate the Function f(-2)=-2^2+2

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

Replace the variable $- 2$ with $- 2$ in the expression.

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

Simplify the result.

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

$f (- 2) = 4 + 2$

Add $4$ and $2$ .

$f (- 2) = 6$

The final answer is $6$ .

$6$