Texture mapping problem

I have drawn a plane with a texture mapped on it. Now when I deform the plane, the texture deforms. Please ignore my poor knowledge.I just want to know, do the texture coordinates automatically map to deformed vertices or I need to do manipulation in texture coordinates to get better output? Thanks in advance.

Once you have assigned the texture coordinates to a vertex unless you assign a new value to it, they retain their old value. If you polygon is deforming, naturally the image on it would deform along with it.
What do u mean by getting better output? The output will be dictated by the filtering settings of ur texture and the resolution of the image you are using as texture.

maybe he is talking about this

Actually I wanted to know the way I am doing texture mapping, is it the proper way or there is a better way of texture mapping when deformation takes place. Resolution of the textured image is quite ok.