# SOLUTION: Please solve, show work and include all relevant points (i.e vertices, intercepts, foci,directrix,asymptotes, ect..) x^2-4y^2+2x=32y=67

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Please solve, show work and include all relevant points (i.e vertices, intercepts, foci,directrix,asymptotes, ect..) x^2-4y^2+2x=32y=67      Log On

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 Algebra: Conic sections - ellipse, parabola, hyperbola Solvers Lessons Answers archive Quiz In Depth

 Question 147722: Please solve, show work and include all relevant points (i.e vertices, intercepts, foci,directrix,asymptotes, ect..) x^2-4y^2+2x=32y=67Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website! Complete the square in both x and y. This is an equation for a hyperbola which has a general form of Center of the hyperbola is (h,k) or in this case (-1,-4) Distance between the foci is 2c where The eccentricity,e, is then The foci of the hyperbola are located at (,)=(,) The vertices of the hyperbola are located at (,)=(,)=(-3,-4) and (1,-4) The equation of the asymptote lines is given by The directrix of a hyperbola is given by