Question 867512
Write the equation of a hyperbola with the center at (-5,-3) vertices at (-5,-5) and (-5,-1) and co vertices at (-11,-3) and (1,-3)
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Given data shows that hyperbola has a vertical transverse axis.
Its standard form of equation: {{{(y-k)^2/a^2-(x-h)^2/b^2=1}}}, (h,k)=coordinates of center.
center: (-5,-3)
a=2 (distance from center to vertices on the vertical transverse axis)
a^2=4
b=6 (distance from center to co-vertices)
b^2=36
equation: {{{(y+3)^2/4-(x+5)^2/36=1}}}