SOLUTION: 1. find the vertices and foci of the hyperbola x^2-y^2=1 --- --- 144 9 2.write an equation for the hyperbola. its center is (0,0) foci:(0,-9),(0,9) vertices:(0,-7),

Question 112893: 1. find the vertices and foci of the hyperbola
x^2-y^2=1
--- ---
144 9

2.write an equation for the hyperbola. its center is (0,0)
foci:(0,-9),(0,9) vertices:(0,-7),(0,7)
if you can help me i would appriciate it thak you

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
find the vertices and foci of the hyperbola

If a hyperbola opens in the horizontal direction, the equation of a hyperbola in standard form appears as

since

=> = +-
= +-
then we have
center: (,) = (,)
focal length:
=+-
and foci: (,) (,)
the vertices:
since => = +-, then the vertices will be at:
(,) (,)

2.write an equation for the hyperbola. its center is (0,0)
foci:(,),(,)
vertices:(,),(,)

since center (,) is at (,),
=> this is a hyperbola opens in the horizontal direction, the equation of a hyperbola in standard form will be

since foci are at (,), (,)
=> = +-
=> and
vertices are at (,),(,) =>
=>
then your equation will be:

RELATED QUESTIONS
find the center, vertices, foci, and slopes of the asymptotes for each hyperbola whose... (answered by ewatrrr)

Find the center, vertices, and foci of the hyperbola. Graph the hyperbola.... (answered by ewatrrr)

Find the vertices, foci, and center of the hyperbola. Graph the equation. 4y^2 - x^2 -... (answered by lwsshak3)

x^2+4x+4-4y^2+8y-8=0 Is this an equation for a hyperbola? How do I find the center,... (answered by Edwin McCravy)

6. find the center, vertices, and foci of the ellipse with the following equation: (answered by lynnlo)

find center, foci, vertices, and asymptotes of the hyperbola. 16x^2-9y^2-96y+144=0... (answered by solver91311)

Identify the center, vertices, and foci of this hyperbola: ((x-1)^2 / 4) - ((y-3)^2 / (answered by ewatrrr)

Find the standard form of the equation of the hyperbola with the given characteristics (answered by lwsshak3)

Write an equation of the hyperbola with foci (0, -2) and (0, 2) and vertices of (0,-1 )... (answered by stanbon)