Question

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

Answer 1

f(x + 1) = 2x² + 4x + 5

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