Question

A parabola can be represented by the equation x2 = 2y. What are the coordinates of the focus and the equation of the directrix?

Answer 1

Your answer would be the second option.

Answer 2

The standard equation for a parabola that opens upward parallel to the y-axis is x2=4ay, where a = distance from the vertex to focus. Vertex is at origin(0,0)
4a=2
a=2/4
a=1/2 or 0.5
the coordinate of the focus is (0, 1/2)
the equation of the directrix is y=-1/2