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asymptotes 4x2−9y2−48x−72y+108=0
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Solution
y=2(x−6)3−4,y=−2(x−6)3−4
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Hyperbola asymptotes
The asymptotes are the lines the hyperbola tends to at ±∞ For up-down hyperbola the asymptotes are y=±ab(x−h)+k
y=±ab(x−h)+k
Calculate Hyperbola properties
4x2−9y2−48x−72y+108=0:Up-down Hyperbola with (h,k)=(6,−4),a=2√3,b=3√3