If f (x) = 2x2 +

+3, then which of the following represent f (x + 1) ?

0 2x²+2

Ox2 + 3

2x2 + 4x+1

2x2 + 4x + 5

f (x + 1) = 2x² + 4x + 5

Step-by-step explanation:

Step 1: Plug in (x + 1) in as x in f (x)

f (x + 1) = 2 (x + 1) ² + 3

Step 2: Expand and distribute

f (x + 1) = 2 (x² + 2x + 1) + 3

f (x + 1) = 2x² + 4x + 2 + 3

f (x + 1) = 2x² + 4x + 5