HONG KONG — The protests that have shaken Hong Kong this summer began with huge demonstrations in early June against an unpopular bill. Since then, they have become a broader movement against Beijing’s power in the semiautonomous territory.

Over several months, violent clashes between young protesters and the police have become more frequent, and the demonstrators’ demands have gotten more diverse and ambitious. Activists have stormed government offices, halted public transportation and defaced symbols of Beijing’s authority. And the use of force against demonstrators, along with the failure to prevent a mob attack on train passengers, has made police conduct a central issue. During the protests of Oct. 1, which coincided with celebrations marking the 70th year of Communist rule in China, police shot a teenage demonstrator. It was the first time in months of protests that a live round was fired at a protester.

On Sept. 4, Hong Kong’s chief executive said she would satisfy one of the protesters’ central demands by withdrawing the extradition bill. But it may not be enough to appease the protesters, who are now driven by multiple grievances with the government.