Evaluate the Function f(-3)=2(-3)^2-3*-3

$f (- 3) = 2 {(- 3)}^{2} - 3 \cdot - 3$

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

$f (- 3) = 2 {(- 3)}^{2} (- 3) \cdot (- 3)$

Simplify the result.

Multiply ${(- 3)}^{2}$ by $- 3$ by adding the exponents.

Move $- 3$ .

$f (- 3) = 2 (- 3 {(- 3)}^{2}) \cdot - 3$

Multiply $- 3$ by ${(- 3)}^{2}$ .

Raise $- 3$ to the power of $1$ .

$f (- 3) = 2 ((- 3) {(- 3)}^{2}) \cdot - 3$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $2$ .

$f (- 3) = 2 {(- 3)}^{3} \cdot - 3$

Multiply ${(- 3)}^{3}$ by $- 3$ by adding the exponents.

Move $- 3$ .

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

Multiply $- 3$ by ${(- 3)}^{3}$ .

Raise $- 3$ to the power of $1$ .

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

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Add $1$ and $3$ .

$f (- 3) = 2 {(- 3)}^{4}$

Raise $- 3$ to the power of $4$ .

$f (- 3) = 2 \cdot 81$

Multiply $2$ by $81$ .

$f (- 3) = 162$

The final answer is $162$ .

$162$