Parabolas have the property that the distance from the focus to any point on the parabola is the same as the distance from that point to the directrix.

For a parabola through (0,0) with vertical axis, opening upward, if the focus is (0, c), then the directrix is the horizontal line y= -c. You need to find the focus and directrix of this parabola in order to give the "condition" for the parabola.