Answer :
To find [tex]\( f(-2) \)[/tex] using the function [tex]\( f(x) = 3x^2 - 4x + 2 \)[/tex], we'll substitute [tex]\(-2\)[/tex] in place of [tex]\(x\)[/tex] and perform the calculations step-by-step.
1. Substitute [tex]\(-2\)[/tex] into the function:
[tex]\[
f(-2) = 3(-2)^2 - 4(-2) + 2
\][/tex]
2. Calculate [tex]\((-2)^2\)[/tex]:
[tex]\[
(-2)^2 = 4
\][/tex]
3. Multiply the square by 3:
[tex]\[
3 \times 4 = 12
\][/tex]
4. Calculate [tex]\(-4 \times (-2)\)[/tex]:
[tex]\[
-4 \times (-2) = 8
\][/tex]
5. Add the remaining terms:
[tex]\[
12 + 8 + 2 = 22
\][/tex]
Thus, the value of [tex]\( f(-2) \)[/tex] is [tex]\( \boxed{22} \)[/tex].
1. Substitute [tex]\(-2\)[/tex] into the function:
[tex]\[
f(-2) = 3(-2)^2 - 4(-2) + 2
\][/tex]
2. Calculate [tex]\((-2)^2\)[/tex]:
[tex]\[
(-2)^2 = 4
\][/tex]
3. Multiply the square by 3:
[tex]\[
3 \times 4 = 12
\][/tex]
4. Calculate [tex]\(-4 \times (-2)\)[/tex]:
[tex]\[
-4 \times (-2) = 8
\][/tex]
5. Add the remaining terms:
[tex]\[
12 + 8 + 2 = 22
\][/tex]
Thus, the value of [tex]\( f(-2) \)[/tex] is [tex]\( \boxed{22} \)[/tex].