SOLUTION: Find the vertex, focus and directrix of the parabola ( x -5 )^2 = 8 (y+2)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the vertex, focus and directrix of the parabola ( x -5 )^2 = 8 (y+2)      Log On


   

Question 975212: Find the vertex, focus and directrix of the parabola ( x -5 )^2 = 8 (y+2)
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
A derivation gives a form %28x-h%29%5E2=4p%28y-k%29 where p is the distance from vertex (h,k) to either focus or directrix. In your example, vertex is (5,-2) and 4p=8 will allow you to determine the point as ordered pair of the focus and directrix.