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

Question

asked Feb 6, 2021 68.7k views

1 Answer

Brian North · Answer 1 · 2021-02-11T13:00:33+0000

Answer:

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