1/8x^2-y=0 Graph the equation. Identify the focus, directrix, and axis of symmetry of the parabola.

Let x^2=4py be equation of parabola. Then equation of directrix is y=-p  coordinates of focus are (0,p) and axis of symmetry is y-axis.
In this case the equation of parabola is
1/8x^2-y=0
1/8x^2=y
Multiply whole equation by 8 in order to obtain equation in standard form.
x^2=8y
Therefore,
4p=8
p=2
Directrix is line y=-2 focus is point (0,2) and axis pf symmetry is y-axis. 
https://en.wikipedia.org/wiki/Parabola