The parabola will be opening to the right, since the directrix is vertical and to the left of the focus. The vertex of the parabola will be the midpoint between the focus and the directrix, which is [(5 - 1)/2, -6] = [2, -6]. The distance between the focus and the vertex is the same as the distance between the directrix and the vertex, which is 3. Therefore, the equation of the parabola can be written as (x - 2)^2 = 12(y + 6).
