What happens with a concave lens?

• The parallel ray goes from the tip of the object horizontally to the lens. It refracts through the lens and diverges away from the principal axis going directly away from the focal point on the object side of the lens.
  
  
• The chief ray is a straight line starting from the tip of the object and passing through the center of the lens. As long as the lens is thin we can assume the ray passes straight through.
  
  
• The focal ray leaves the tip of the object heading toward the focal point on the far side of the lens. It is re-directed by the lens to go parallel to the principal axis.

Moving an object from infinity toward a concave lens gives an image that moves from the focal point toward the lens, growing from a point to almost as large as the object. The image is virtual, upright, and smaller than the object.