5. Evaluate $f(x)=2 x^{2}-3 x+2$
a. $f(-2)$
b. $f(x+3)$

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Answer

So, the final answer is $f(-2) = \boxed{16}$.

Steps

Step 1 ：The function $f(x)$ is given as $2x^{2}-3x+2$. To find the value of the function at a specific point, we need to substitute the given value of $x$ into the function. In this case, we are asked to find $f(-2)$, so we need to substitute $-2$ for $x$ in the function.

Step 2 ：Substituting $-2$ for $x$ in the function gives us $f(-2) = 2(-2)^{2}-3(-2)+2 = 2*4+6+2 = 8+6+2 = 16$.

Step 3 ：So, the final answer is $f(-2) = \boxed{16}$.

5. Evaluate $f(x)=2 x^{2}-3 x+2$a. $f(-2)$b. $f(x+3)$

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5. Evaluate $f(x)=2 x^{2}-3 x+2$
a. $f(-2)$
b. $f(x+3)$