Final answer:
A parabola can be drawn given a focus and a directrix. In this case, the focus is (1,-7) and the directrix is y = -5. The parabola will be symmetric with respect to its axis of symmetry and the vertex will be equidistant from the focus and the directrix.
Step-by-step explanation:
A parabola can be drawn given a focus and a directrix. In this case, the focus is (1,-7) and the directrix is y=-5. For a parabola, the distance between any point on the parabola and the focus is equal to the distance between that point and the directrix. So, we can conclude that the parabola will be symmetric with respect to its axis of symmetry, which is parallel to the directrix and passes through the focus. The vertex of the parabola will be equidistant from the focus and the directrix.