SOLUTION: Find an equation for the indicated conic section. P is for the Parabola with focus (3, 1) and directix = 7.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find an equation for the indicated conic section. P is for the Parabola with focus (3, 1) and directix = 7.      Log On


   

Question 257373: Find an equation for the indicated conic section.
P is for the Parabola with focus (3, 1) and directix = 7.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Focus = (3,1)
directrix line at y = 7.
The vertex is the midpoint or (3,4)
The distance from the vertex to focus is called P. P = 3.
the equation we need is
y+=+%281%2F%284p%29%29%28x-h%29%5E2+%2B+k
or
y+=+%281%2F12%29%28x-3%29%5E2%2B4