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Find an equation for the hyperbola Vertices: (2, 3), (2, -3); Foci: (2, 5), (2, -5)
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This is gonna be a vertical hyperbola since we have change in the y coordinates, meaing the y comes first in the eqaution. Also this is a shifted hyperbola (duh)
hold on man, i just totally blanked out
c=2, a=3 a^2+b^2=c^2
b^2=5
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Then finding the center, what coordinates do we use?
\[\frac{(y-0)^2}{9}-\frac{(x-2)^2}{5}=1\]
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