Question

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