The standard form of the equation of a hyperbola is $\frac{(x-h)^2}{a^2} - \frac{(y-k)^2}{b^2} = 1$ for a hyperbola that opens left and right, and $\frac{(y-k)^2}{a^2} - \frac{(x-h)^2}{b^2} = 1$ for a hyperbola that opens up and down. Here, $h$ and $k$ are the
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