An Equation of a Parabola Is Given $$x ^ { 2 } - 8 x - 16 y - 16 = 0$$

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the focus.
- $$x ^ { 2 } - 8 x - 16 y - 16 = 0$$

A) $( x - 4 ) ^ { 2 } = 16 ( y + 2 )$
vertex: $( - 2,4 )$ ; focus $( 2,4 )$
B) $( x - 4 ) ^ { 2 } = 16 ( y + 2 )$
vertex: $( - 4,2 )$ ; focus $( - 4,6 )$
C) $( x + 4 ) ^ { 2 } = 16 ( y - 2 )$
vertex: $( - 4,2 )$ ; focus $( - 4,6 )$
D) $( x - 4 ) ^ { 2 } = 16 ( y + 2 )$
vertex: $( 4 , - 2 )$ ; focus $( 4,2 )$