SOLUTION: Find an equation of the hyperbola that satisfies the given conditions.
Vertices (−1, 7) and (−1, 3), foci (−1, 9) and (−1, 1)
Algebra.Com
Question 995969: Find an equation of the hyperbola that satisfies the given conditions.
Vertices (−1, 7) and (−1, 3), foci (−1, 9) and (−1, 1)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The center is midway between the vertices and is (-1,5), It is also midway between both foci.
c=4, distance of each focus from the center
a=2 distance of each vertex from the center.
c^2=a^2+b^2
b^2=12. Don't need b itself, since the equation has b^2 only.
y is added, since the vertices are above one another.
{(y-5)^2/16} - {(x+1)^2/12} =1
RELATED QUESTIONS
Find an equation of the line that satisfies the given conditions.
Through (1/2, - 2/3); (answered by Cromlix)
Find an equation of the line that satisfies the given conditions.
Through the points of (answered by sachi)
Find an equation of the line that satisfies the given conditions.
Through (−4, 1); (answered by macston)
Find an equation of the line that satisfies the given conditions.
Through (1/2, -2/5)... (answered by stanbon)
write an equation for the hyperbola that satisfies the given set of conditions.
vertices (answered by lwsshak3)
Find a polynomial function f with real coefficients that satisfies the given conditions.
(answered by CubeyThePenguin)
Find the vertices and foci of the hyperbola.
16x2 − y2 − 64x − 4y + 44 (answered by lwsshak3)
Find the vertices and foci of the hyperbola.
9x2 − y2 − 36x − 2y + 26... (answered by lwsshak3)
Write an equation for the hyperbola that satisfies each set of conditions.
vertices... (answered by AnlytcPhil)