If \(f(x) = 2x^2 - 5x + 3\), find f(x + 1).
A
2x2 - x
B
2x2 - x + 10
C
4x2 + 3x + 2
D
4x2 + 3x + 12
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(f(x) = 2x^2 - 5x + 3\)
\(f(x + 1) = 2(x + 1)^2 - 5(x + 1) + 3\)
= \(2(x^2 + 2x + 1) - 5x - 5 + 3\)
= \(2x^2 + 4x + 2 - 5x - 2\)
= \(2x^2 - x\)
Source: Myschool Past Questions Archive (Record #31519)