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Complete the square and we see the form: Where (h,k) is the vertex coordinates and p is the distance from the focus to the vertex and from the vertex to the directrix. We get We can see that (h,k)=(4,0) and since 4p=-24, then |p|=6 Thus,the focus coordinates are F(4,-6). The directrix is the same distance from the vertex as the focus is. Graph it and see. |
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