If f(x – 4) = x^{2} + 2x + 3, Find, f(2)

A.
6 
B.
11 
C.
27 
D.
51
Correct Answer: Option D
Explanation
f(x – 4) = x^{2} + 2x + 3
To find f(2) = f(x – 4)
= f(2)
x – 4 = 2
x = 6
f(2) = 6^{2} + 2(6) + 3
= 36 + 12 + 3
= 51
f(x – 4) = x^{2} + 2x + 3
To find f(2) = f(x – 4)
= f(2)
x – 4 = 2
x = 6
f(2) = 6^{2} + 2(6) + 3
= 36 + 12 + 3
= 51