SOLUTION: What is the standard form of the equation of the hyperbola with vertices (0, ±3) and asymptotes y= ± 3/2x? Thanks.

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Question 1080843: What is the standard form of the equation of the hyperbola with vertices (0, ±3) and asymptotes y= ± 3/2x? Thanks.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
the equation for the hyperbola with:
vertices at (0,3),(0,-3) (opens left and right) Center(0,0) and a+=3
asymptote of the line y=%283%2F2%29x and y=+-%283%2F2%29x =>
b%2Fa+=+b%2F3=3%2F2
b+=+%283%2F2%293=9%2F2
the equation is:
++x%5E2%2F3%5E2+-+y%5E2%2F%289%2F2%29%5E2+=+1+