An Equation of a Parabola Is Given $$y ^ { 2 } + 16 x - 4 y + 52 = 0$$

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the equation of the directrix.
- $$y ^ { 2 } + 16 x - 4 y + 52 = 0$$

A) $( y + 2 ) ^ { 2 } = - 16 ( x - 3 )$
vertex: $( - 3,2 )$ ; focus: $( 7,2 )$
B) $( y + 2 ) ^ { 2 } = - 16 ( x - 3 )$
vertex: $( 3 , - 2 )$ ; focus: $( 7 , - 2 )$
C) $( y - 2 ) ^ { 2 } = - 16 ( x + 3 )$
vertex: $( - 3,2 )$ ; focus: $( - 7,2 )$
D) $( y - 2 ) ^ { 2 } = - 16 ( x + 3 )$
vertex: $( 3 , - 2 )$ ; focus: $( - 7 , - 2 )$