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