which is f(5) for the function $-2x^2 + 2x - 3$?\n-107\n-63\n-43\n-37

Explanation:

Step1: Substitute x=5 into the function

We have the function ( f(x) = -2x^2 + 2x - 3 ). Substitute ( x = 5 ) into it: ( f(5)=-2(5)^2 + 2(5)-3 )

Step2: Calculate each term

First, calculate ( (5)^2 = 25 ), then ( -2\times25=-50 ), ( 2\times5 = 10 ). So the expression becomes ( -50 + 10 - 3 )

Step3: Simplify the expression

( -50+10=-40 ), then ( -40 - 3=-43 )

Answer:

-43 (corresponding to the option with -43)