primary auxiliary

Identify the two primary auxiliary verbs be and have in the examples given below. Describe their function.
a) The countryside is looking beautiful right now.

To form the present continuous 'is looking'.

b) The show was seen by over 90,000 people.

To combine with the past participle 'seen' to form the passive.

c) Jane has looked up from her papers.

To combine with the past participle 'looked' to form the present perfect which, in this case, could be used to denote current relevance, importance, greater formality, hot topic, ... .