What are the vertex, focus, and directrix of the parabola with the given equation?

12y = x2 –6x + 45
(1 point)
Responses

vertex (–3, –3); focus (0, 3); directrix y = 3
vertex (–3, –3); focus (0, 3); directrix y = 3

vertex (3, 3); focus (3, 6); directrix y = 0
vertex (3, 3); focus (3, 6); directrix y = 0

vertex (3, –3); focus (0, 6); directrix y = –3
vertex (3, –3); focus (0, 6); directrix y = –3

vertex (–3, 3); focus (3, –3); directrix y = 0

The correct answer is:

vertex (3, -3); focus (3, 0); directrix y = -6