schwenken
to wave
To hold something in your hand and move it repeatedly back and forth or in a circle.
Die Fans schwenkten begeistert ihre Fahnen.
The fans enthusiastically waved their flags.

to wave / pan / toss
Loading your saved state.
to wave
To hold something in your hand and move it repeatedly back and forth or in a circle.
Die Fans schwenkten begeistert ihre Fahnen.
The fans enthusiastically waved their flags.

The verb 'schwenken' (to wave/pan/toss) is related to 'schwanken' (to sway, to stagger). Both words describe a swinging movement. The difference is that with 'schwenken', a person or a force actively moves something.
Er schwenkte die Weinflasche, bevor er sie öffnete.
He swirled the wine bottle before opening it.
In the meaning of 'to move something in your hand', 'schwenken' is often connected with objects that people move at celebrations or as a greeting. Typical examples are: 'Fahnen schwenken' (to wave flags), 'den Hut schwenken' (to wave one's hat), or 'ein Taschentuch schwenken' (to wave a handkerchief).
Zum Abschied schwenkte sie ihr weißes Taschentuch.
As a farewell, she waved her white handkerchief.
You can recognize this meaning from the fact that technical devices are often the object. Typical examples are a camera, a crane, or a spotlight that rotates around an axis.
Der Kranführer schwenkte die schwere Last vorsichtig zur Seite.
The crane operator carefully swung the heavy load to the side.
In the context of cooking, 'schwenken' is almost always used with a preposition such as 'in' or 'durch'. You toss something in butter, in oil, or through a sauce.
Die Nudeln werden nach dem Kochen kurz in Salbeibutter geschwenkt.
After cooking, the noodles are briefly tossed in sage butter.
This meaning refers to the orderly movement of a group. The subject is therefore typically a formation, for example soldiers, a dance group, or a company.
Die Garde schwenkte im Gleichschritt um die Ecke.
The guard wheeled around the corner in step.
to turn / film
'drehen' and 'schwenken' both describe a movement to the side or in a circle. 'drehen' is more general and means a movement around an axis or a central point. 'schwenken' is often used when you move something back and forth or in an arc, for example a flag, a camera, or a lamp. The object changes direction, but you do not necessarily move it away from its position. Learners may confuse the words because both can involve a circular movement. 'drehen' fits the rotation itself, while 'schwenken' is more suitable for a guided movement in a new direction.

Die Kamerafrau schwenkt die Kamera langsam zur Bühne.
The camera operator slowly pans the camera toward the stage.
Zu Hause dreht Tom den Knopf am Herd nach links.
At home, Tom turns the knob on the stove to the left.