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Find the center, foci, and vertices for the given hyperbola

Consider the hyperbola given by the equation

    \[ \frac{(x+3)^2}{4} - (y-3)^2 = 1. \]

Find the center, the foci, and the vertices of this parabola and sketch the curve, showing the positions of the asymptotes. Compute the eccentricity.


Incomplete.

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