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

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 \(f(-2) = \boxed{16}\).