SOLUTION: Find the equation for a parabola with its focus at (5, 0) and a directrix of x = -5

Question 756237: Find the equation for a parabola with its focus at (5, 0) and a directrix of x = -5
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
The way the focus and directrix are positioned, this parabola has a minimum. The vertex is directly in the exact middle of focus and directrix, so vertex is (0,0). Without going to derivation process for a parabola equation, you can use , where p is the focal length, same as distance from vertex to the closest point on the directrix.

In your question, p=5, and since the parabola has a minimum, the coefficient on is positive (when written in the form y=something...).

and knowing p=5

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