Question

Given the function f(x) = 4x^2 - 17, find f (h+2).

A. 4h^2 - 1

B. 4h^2 + 16h - 1

C. 4h^2 + 16h + 16

D. 4h - 9

Answer 1

The answer for this is B

Answer 2

B

Explanation:

Substitute x = h + 2 into f(x), that is

f(h + 2)

= 4(h + 2)² - 17 ← expand factor using FOIL

= 4(h² + 4h + 4) - 17 ← distribute parenthesis and simplify

= 4h² + 16h + 16 - 17

= 4h² + 16h - 1 → B