SOLUTION: Please help me with this question. Find an equation for the hyperbola that satisfies the given conditions: 12. Vertices (0, �4), asymptotes y = � 1/2x

Question 1049488: Please help me with this question.

Find an equation for the hyperbola that satisfies the given conditions:
12. Vertices (0, �4), asymptotes y = � 1/2x
Found 2 solutions by ewatrrr, advanced_Learner:
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Vertices (0, �4), asymptotes y = � 1/2x
OPens Up an Down
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 center, along x = h
& Asymptotes Lines passing thru C(h,k), with slopes m = � b/a
Vertices (0, �4) therefore C(0,0)

asymptotes y = � 1/2x
m = � b/a
4/a = 1/2
a = 8

Answer by advanced_Learner(501) (Show Source): You can put this solution on YOUR website!
the equation is
centre is at (0,0)
since vertices(0,4) and V(0,-4) =
find b from the asymptotes =

the answer is
=
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