SOLUTION: Find an equation for the hyperbola with foci (−3,−1) and (−3, 9) and asymptotes y = −3x/4 25/4 y = 3x/4 + 25/4 . Write your answer in the form (y-d)^2/a^2

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Question 852319: Find an equation for the hyperbola with foci (−3,−1) and (−3, 9) and asymptotes y = −3x/4 25/4 y = 3x/4 + 25/4 . Write your answer in the form (y-d)^2/a^2 -(x-c)^2/b^2 =1.
Not sure on how to approach this.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi
foci (-3,-1) and (-3, 9) says it opens Up and Down C(-3, 4)the 4 halfway between
Foci distance from center = 5 |5 =
slope of asymptotes = ± 3/4 says b/a = 3/4 and 5 =

Standard Form of an Equation of an Hyperbola opening up and down is:
with C(h,k) and vertices 'b' units up and down from center, 2b the length of the transverse axis
Foci units units up and down from ) ± b/a

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