In order to accomplish this task, we need to rewrite the equation in standard form. This will again involve completing the square. We see that this is accomplished by the following:
so
Factoring out -8 from the right--hand side leaves
We have now rewritten our equation into standard form. Note that the
vertex is 
and
We also see that the axis is horizontal and that the parabola opens to the left (since d is negative.) Thus, the directrix is the vertical line that lies 2 units to the right of the vertex, yielding the equation
Finally, the focus is the point 2 units to the right of the vertex,
which in this case is the point 
.
James A. Sellers