Let $f ( x , y ) = x ^ { 2 } + y$

Multiple Choice

Let $f ( x , y ) = x ^ { 2 } + y$ with constraint $x ^ { 2 } + y ^ { 2 } = 9$ . Then f has a relative minimum at

A) $( - 3,0 )$
B) $( 0,3 )$
C) $( 0 , - 3 )$
D) $( 3,0 )$
E) $( 2 , \sqrt { 5 } )$