Question 1161843: Find, in standard form, the equation of:
The parabola with focus at (3,5) and directrix at x= -1
Answer by greenestamps(13209)   (Show Source):
You can put this solution on YOUR website!
The directrix is x=-1, and the focus is to the right of the directrix, so the parabola opens to the right.
The vertex form of the general equation that I prefer is
The vertex is (h,k)
p is the directed distance (i.e., can be positive or negative) from the directrix to the vertex, and from the vertex to the focus
With the directrix at x=-1 and the focus at (3,5), the vertex is (1,5), and p is 2.
That's all you need to write the equation in vertex form.
I'm not sure what you consider standard form for an equation of a parabola; do wht is necessary to convert vertex form to standard form.
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