You Do Need power plug adapter while traveling from Dominica to Azores.

Here is Why You Need An Adapter

The outlet and plug type used in Azores are B, C and F and in Dominica are D and G. This is how they look like.

Dominica

In Dominica, outlets of type D and G are in use.

Type D

Type G

Azores

In Azores, outlets of type B, C and F are in use.

Type B

Type C

Type F