Zeros.

Asymptotes.

Discontinuities.

Intercepts.

Minima or Maxima.

Really, any interesting feature.

And, yes, just looking at some equations should give you a clue what to mention. In this case, it is a parabola through the Origin. This eliminates asymptotes and discontinuities. Now that we know it's a parabola, some more specific items can be included.

Vertex.

Directrix.

Axis of Symmetry.

"p" value.

Orientation.