The equation of the hyperbola that has a center at (1,10)\displaystyle {\left({1},{10}\right)}, a focus at (6,10)\displaystyle {\left({6},{10}\right)}, and a vertex at (3,10)\displaystyle {\left(-{3},{10}\right)}, is
(xC)2A2(yD)2B2=1\displaystyle {\frac{{{\left({x}-{C}\right)}^{{2}}}}{{{A}^{{2}}}}}-{\frac{{{\left({y}-{D}\right)}^{{2}}}}{{{B}^{{2}}}}}={1}
where
A=\displaystyle {A}=  
B=\displaystyle {B}=  
C=\displaystyle {C}=  
D=\displaystyle {D}=