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Basic vertical hyperbola y²/b²−x²/a²=1 has centre(0,0), vertices (0,±b), symmetry x=0,y=0, asymptotes y=±(b/a)x. Translated form has centre(h,k), vertices (h,k±b), symmetry x=h,y=k and asymptotes y=k±(b/a)(x−h). Illustrations use a=3,b=1 and, in the translated case, positive h=3,k=2.Open original diagram (new tab)