That's a pretty general question. The gods and goddesses didn't have direct impact on the lives of everyday Greeks, at least not in the sense that mythology would lend. They viewed their gods much the same way as we view ours. They were the source of all that they had, and were also capable of taking those things away. They felt that their gods were omnipotent and omnipresent, so you had to be careful all the time, not just on certain days or in certain places.
The Greek religion defined the moral expectations for the Greek people. Concepts like giving travelers expecting hospitality and what constituted an acceptable sacrifice were all found within the stories they told as part of their faith.
It was connected to the lives of the early Greeks because that's what they believed, and that's what they lived by, and who they sacrificed to. The early Greeks be lived in gods and goddesses, and so, for instance, if they wanted to have a good harvest, they would have sacrificed to Demeter, goddess of Harvest, and they also would have sacrificed to Gaea, goddess of Earth (or more matter of fact, Gaea WAS earth).
The Ancient Greeks put stock in various divine beings and goddesses. The Greeks accepted that these divine beings and goddesses controlled everything in their lives and the climate. There was a divine being for each part of their lives. So god is a great being. One who loves a man in spite of his faults and always does good to his people, which is why the Greeks believed that their god would help them even when they were angry.
The plays were a celebration to the gods. The gods were given due deference and sacrifice.
they affected lives by casting spells of wizardery
Philosophy was central to the Greeks in that it shaped their lives, culture and politics. Much of democracy was based on philosophy.
Hebe, Greek goddess of youth, was in essence the reason why there is youth - and why the gods and goddesses of Greek myth did not age, for they drank of youth's cup.
The Greeks stood their ground and fought for their freedom against the Persians. Their victory caused the Greeks many lives.
Greek myth explains the origins of the world and details the lives and adventures of a wide variety of gods, goddesses, heroes, heroines, and other mythological creatures.
Olympus is where she lives, but Hera like other Greek gods and goddesses can move to where she wants to be as fast as thought.
Alexander the Great.
There aren't 30 major greek gods and goddesses. There are only 12. Zeus, Poseidon, Ares, Hermes, Apollo, Hera, Artemis, Aphrodite, Demeter, Hephaestus, Athena and Hestia or Dionysus. Hades isn't considered apart of the 12 Olympians since he lives in the Underworld.
In the antique sculpture department of a large museum such as the Metropolitan or the Louvre.