SOLUTION: Y^2 − x^2 /4 = 1.What are all the vertices,asymptotes, foci and hyperbola?
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Question 962170: Y^2 − x^2 /4 = 1.What are all the vertices,asymptotes, foci and hyperbola?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
.....=> here you have where and
When the transverse axis is vertical (or, when the center, foci, and vertices line up above and below each other, parallel to the y-axis), then the goes with the part of the hyperbola's equation, and the part is subtracted.
since and , the center is at (, )
=>semimajor axis length
=> semiminor axis length
asymptotes' equations:
=±
=±
=±=>asymptotes are and
vertices:
(, )
(, )
so, foci is at:
(, )
(, )
or
(,)
(, )
the "eccentricity", where is or
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