Evaluate Using the Given Value f(3)=-2(3)^2+3(-3)-8

$f (3) = - 2 {(3)}^{2} + 3 (- 3) - 8$

Step 1

Simplify each term.

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

$f (3) = - 2 \cdot 9 + 3 (- 3) - 8$

Multiply $- 2$ by $9$ .

$f (3) = - 18 + 3 (- 3) - 8$

Multiply $3$ by $- 3$ .

$f (3) = - 18 - 9 - 8$

Step 2

Simplify by subtracting numbers.

Subtract $9$ from $- 18$ .

$f (3) = - 27 - 8$

Subtract $8$ from $- 27$ .

$f (3) = - 35$