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