Describe the Shape of the Graph Of $f ( x , y ) = 3 x ^ { 2 } + 3 y ^ { 2 } - 3 x - 12 y + 18$

Multiple Choice

Describe the shape of the graph of $f ( x , y ) = 3 x ^ { 2 } + 3 y ^ { 2 } - 3 x - 12 y + 18$

A) Paraboloid
B) Elliptic paraboloid
C) Hyperbolic paraboloid
D) None of the above