Question 975218: Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation of an hyperbola, in standard form, with vertices ( 0,3) and (0,-3) and asymptotes y=3/2x and y=-3/2x
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Given hyperbola has a vertical transverse axis.
Its standard form of equation:  , (h,k)=coordinates of center
center: (0, 0)
vertices:
a=3
a^2=9
Given slopes of asymptotes with vertical transverse axis=a/b=±3/2
b=2a/±3
b^2=4a^2/9
b^2=4*9/9=4
equation: 
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