**CONCEPTS: The question tests on the area of functions.**

**SOLUTION:**

f(a+2) = (a+2)^2 + 3(a+2) -4

= a^2 +4 +4a + 3a +6 - 4

= a^2 +7a +6 (OPTION A)

Alternatively if a=0

f(a+2)= f(0+2) =f(2)=2^2+ 3.2- 4

=6 (You can see option A&E gives 6 as answer if a=0)

With a negative number like a=-1

f(2+a)= f(2-1)=f(1)

=1^2+3-4

=0 (You can see option A gives 0 as answer and E gives 8 as answer;Eliminate E)

Hence OPTION (A)