SOLUTION: Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1
Algebra.Com
Question 877244: Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1
.
vertex is mid-way between the focus and directrix:
vertex: (-5,2)
standard form of a vertical parabola
(x – h)^2 = 4p(y – k)
(x – (-5))^2 = 4p(y – 2)
(x + 5)^2 = 4p(y – 2)
.
p is the distance between the vertex and either the focus or directrix:
p = 3
.
so our final equation is:
(x + 5)^2 = 4*3(y – 2)
(x + 5)^2 = 12(y – 2)
RELATED QUESTIONS
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y =... (answered by josgarithmetic)
the equation of a parabola with the given focus and directrix
F(0,-5),... (answered by lwsshak3)
Which is the equation of a parabola with focus (0, 5) and directrix y=... (answered by lwsshak3)
Find the equation of the parabola with a focus at (0,5) and a directrix... (answered by josgarithmetic)
What is the equation of the parabola with a focus at (0, -5) and directrix y =... (answered by josgarithmetic)
find the equation of the parabola with the given focus and directrix. focus... (answered by josgarithmetic,greenestamps)
18. Write an equation of a parabola with the given focus and directrix. Focus-(0,3),... (answered by ewatrrr)
Find the equation for a parabola with its focus at (5, 0) and a directrix of x =... (answered by josgarithmetic)
Find the equation for a parabola with its focus at (5, 0) and a directrix of x =... (answered by lwsshak3)