SOLUTION: Find the equation of the parabola satisfying the given conditions. The vertex of each is at the origin. 1. Directrix x = 20 2. Directrix y = 2.3

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the equation of the parabola satisfying the given conditions. The vertex of each is at the origin. 1. Directrix x = 20 2. Directrix y = 2.3      Log On


   



Question 749191: Find the equation of the parabola satisfying the given conditions. The vertex of each is at the origin.
1. Directrix x = 20
2. Directrix y = 2.3

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Find the equation of the parabola satisfying the given conditions. The vertex of each is at the origin.
1. Directrix x = 20
parabola opens leftward
Basic equation: y^2=-4px
p=20
4p=80
Equation of given parabola: y^2=-20x
..
2. Directrix y = 2.3
parabola opens downward
Basic equation: x^2=-4py
p=2.3
4p=9.2
Equation of given parabola: x^2=-9.2y