No example? No formula? No theory? You've been taught nothing?
Read this: Rotation of Axes - How Conic Sections Transform Under Rotations
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?