SOLUTION: Find the equation of the hyperbola with vertices at (-1, -1) and (3, -1) and an equation of asymptote (x−1)/2 = (y+1)/3
I'm still struggling to answer this kind of problem. Yo
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Question 1194749: Find the equation of the hyperbola with vertices at (-1, -1) and (3, -1) and an equation of asymptote (x−1)/2 = (y+1)/3
I'm still struggling to answer this kind of problem. Your answer would help me a lot. Thank you in advance!
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
the equation of the hyperbola :
where (,) is the center, and are the lengths of the semi-major and the semi-minor axes
given:
vertices at (, ) and (,)
The distance between the vertices is . Since , distance between and is units
=> so, =>
since center is midpoint between vertices, C(,)=(,)
=> and
equation of asymptote =>=>
since =>=>
the equation of the hyperbola :
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