f(x)=x²+3x+2 is shifted 2 units right. The result is g(x). What is g(x)?

A. g(x)=x² + 3x+4

B. g(x) = (x + 2)²+3x+2

C. g(x) = (x + 2)² + 3(x+ 2) +2

D. g(x) = (x - 2)² + 3(x-2) +2