Solve the Problem $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \sqrt { \mathrm { y } ^ { 2 } - 16 }$

Multiple Choice

Solve the problem.
-Find an equation for the level curve of the function $\mathrm { f } ( \mathrm { x } , \mathrm { y } ) = \sqrt { \mathrm { y } ^ { 2 } - 16 }$ that passes through the point $( 0,4 )$ .

A) $y = 4$
B) $y = - 16$
C) $y = 16$
D) $\mathrm { y } = \pm 4$