Find the center of:

Question

1.  5x^2+6y^2=30

 

2.  y^2-6x=12

 

3. 2x^2-y^2=4

Answer 1

1.  this is an ellipse, centered at the Origin

2.  this is a sideways parabola; the term CENTER is not applicable.  (Terms FOCUS, VERTEX, Directrix do apply.)

3.  this is an hyperbola, centered at the Origin.

 

These aren't very inspired questions!