The Absolute Maximum Of $f ( x , y ) = 2 x ^ { 2 } + y ^ { 2 } - 4 x - 4 y + 1$

Multiple Choice

The absolute maximum of $f ( x , y ) = 2 x ^ { 2 } + y ^ { 2 } - 4 x - 4 y + 1$ on or inside the triangle with vertices (0,0) , (1,2) , and (0,2) is

A) 5
B) 4
C) 3
D) 2
E) 1