Evaluate the Function f(x)=3x^2-4x+2 at x=2

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

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

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

Simplify the result.

Simplify each term.

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

$f (2) = 3 \cdot 4 - 4 \cdot 2 + 2$

Multiply $3$ by $4$ .

$f (2) = 12 - 4 \cdot 2 + 2$

Multiply $- 4$ by $2$ .

$f (2) = 12 - 8 + 2$

Simplify by adding and subtracting.

Subtract $8$ from $12$ .

$f (2) = 4 + 2$

Add $4$ and $2$ .

$f (2) = 6$

The final answer is $6$ .

$6$