At What Point Is the Following Function a Local Minimum $$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$

Multiple Choice

At what point is the following function a local minimum?
$$f ( x , y ) = 8 x ^ { 2 } + 5 y ^ { 2 }$$
Select the correct answer.

A) $( 5,0 )$
B) $( 8 , - 5 )$
C) $( 8,0 )$
D) $( 8,5 )$
E) $( 0,0 )$