Question 616287: Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the equation of a hyperbola with vertices at (-3, 0) and (3, 0) and co-vertices (0, 5) and (0, -5).
Given hyperbola has a horizontal transverse axis.
Its standard form: (x-h)^2/a^2-(y-k)^2/b^2=1, (h,k)=(x,y) coordinates of center
For given hyperbola:
center:(0,0)
length of horizontal transverse axis=6=2a
a=3
a^2=9
..
length of co-vertices or conjugate axis=10=2b
b=5
b^2=25
..
Equation:
x^2/9-y^2/25=1
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