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