Hello,

Probably after the transformation of your bacterial cells by the vector, you did not spread well on the agar, the bacterial cells were not well dispersed over the entire surface of the plate.

try not to stop plating until all of the suspension is absorbed into the agar.

It is hard to see from the picture you provided, but it looks as if you have growth everywhere. Did you do a no-plasmid control for the transformation?

Also be sure you used the correct plates.

Another possibility was the plate was very very wet and the water just smeared all over the top of the plate.