The given function is in terms of x.
So the function is f(x)=

Find f(5), that means the value of x is 5
so plug in x =5 in the given function f(x),
f(x) =

f(5) =

f(5) = -2(5)(5) + 2(5) -3
f(5) = -2(25) + 10 -3
f(5) = -50 + 10 -3 (apply the rule of integers)
f(5) = -40 -3
f(5) = -43
Answer is option C.