Draw ray diagrams showing the image formation by a convex mirror when an object is placed:
$(a)$ at infinity
$(b)$ at a finite distance from the mirror

(N/A) For a convex mirror:
$(a)$ When the object is at infinity,the incident rays are parallel to the principal axis. After reflection,they appear to diverge from the principal focus $(F)$ behind the mirror. The image formed is virtual,erect,highly diminished,and located at the principal focus $(F)$ behind the mirror.
$(b)$ When the object is at a finite distance from the mirror,the image formed is always virtual,erect,and diminished. It is located between the pole $(P)$ and the principal focus $(F)$ behind the mirror,regardless of the object's distance.