An Equation of a Parabola Is Given $$y ^ { 2 } - 8 y - 12 x - 8 = 0$$

Multiple Choice

An equation of a parabola is given. Write the equation of the parabola in standard form, and identify the
vertex and the focal diameter.
- $$y ^ { 2 } - 8 y - 12 x - 8 = 0$$

A) $( y - 4 ) ^ { 2 } = 12 ( x + 2 )$
vertex: $( - 2,4 )$ ; focal diameter: 12

B) $( y + 4 ) ^ { 2 } = 12 ( x - 2 )$
vertex: $( - 4,2 )$ ; focal diameter: 6
C) $( y - 4 ) ^ { 2 } = 12 ( x + 2 )$
vertex: $( - 2,4 )$ ; focal diameter: 6

D) $( y + 4 ) ^ { 2 } = 12 ( x - 2 )$
vertex: $( - 4,2 )$ ; focal diameter: 12