Question 193913: Write an equation of a parabola with a vertex at the origin.
8. focus (0, 2)
9. focus (4, 0)
10. directrix at y = -8
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website!
8. focus (0, 2)
This is a "vertical" parabola, if so, it follows:
.
Since, the vertex is at the origin:
(h,k) = (0,0)
'c' is the distance from the vertex to the focus
therefore
c =2
Now, we plug it in to
.
9. focus (4, 0)
This is a "horizontal" parabola, if so, it follows:
.
Since, the vertex is at the origin:
(h,k) = (0,0)
'c' is the distance from the vertex to the focus
therefore
c =4
.
Now, we plug it in to
.
10. directrix at y = -8
This is a "vertical" parabola, if so, it follows:
.
Since, the vertex is at the origin:
(h,k) = (0,0)
'c' is the distance from the vertex to the directrix
therefore
c =-8
Now, we plug it in to
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