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Answer:
Step-by-step explanation:
The directrix given to us has equation,
and the focus is
.
This means that the axis of symmetry of the parabola is parallel to the y-axis and has equation , because it must go through the focus.
This axis of symmetry of the parabola will meet the directrix at .
The vertex of this parabola is the midpoint of the point of intersection of the axis of symmetry and the focus.
Thus,
.
The equation is given by .
.
is the distance between the vertex and the focus, which is 2.
This implies that,
or
But the position of the directrix and the vertex implies that the parabola opens downwards.
.
The equation of the parabola now becomes;
.
We solve for y to obtain,
or
