Rotate the axes to eliminate the xy-term. Then write the standard form of the equation of the conic relative to x'y'-plane.
Please post new questions on new threads.
You're killing yourselves, here, folks.
Eccentricity: e = 3/2 -- This is an hyperbola
Directrix Displacement: p = 2 -- One directrix is at x = 2
Where is the other Directrix?
Where are the Vertices?
What is the length of the Minor Axis?