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

Substitute (x = 5) into (y=-2x^{2}+2x - 3), we get (y=-2\times5^{2}+2\times5-3).

Step2: Calculate the power term

First, calculate (5^{2}=25), then the expression becomes (y=-2\times25 + 2\times5-3).

Step3: Calculate the multiplication terms

(-2\times25=-50) and (2\times5 = 10), so (y=-50+10 - 3).

Step4: Calculate the addition and subtraction

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

Answer:

-43