SOLUTION: Find the equation of the parabola with vertex at (−2, 2) and directrix at y = 4

Algebra.Com
Question 334908: Find the equation of the parabola with vertex at (−2, 2) and directrix at y = 4
Answer by nyc_function(2741)   (Show Source): You can put this solution on YOUR website!
Since the directrix is horizontal, then the general term of parabola is
(x-α)^2 = 4p(y-β) vertex (α,β) = (-2,2)
(x+2)^2 = 4p(y-2)
p is the distance from vertex to directrix = 2
The equation of parabola : (x+2)^2 = 8(y-2)

RELATED QUESTIONS

Find an equation of the parabola with vertex at (2, -4) and directrix x =... (answered by josgarithmetic,MathTherapy)
Find the equation of the parabola with vertex at (2, -1) and directrix y+2=0. Sketch the... (answered by josgarithmetic)
The standard form equation of the parabola with vertex at (4, 1) and directrix... (answered by josgarithmetic,greenestamps)
Find the equation of the parabola with vertex at origin and directrix as... (answered by Fombitz)
1. Find the standard form of the equation of the parabola with a focus at (-4, 0) and a... (answered by josgarithmetic)
write the standard form of the equation of the parabola with its vertex at (0,0)and... (answered by lwsshak3)
1. Find the standard form of the equation of the parabola with a focus at (0, -9) and a... (answered by josgarithmetic)
Find the vertex, focus, and directrix of the parabola with equation... (answered by Edwin McCravy)
Find the equation of a Parabola with the vertex at (-3,-2) and directrix of... (answered by lwsshak3)