contentedly, peacefully, quietly
Sheep were grazing peacefully in the fields.

allow sth to, turn sth out to
The cattle were turned out to graze.

on, upon
lambs grazing on the rough moorland pasture

badly
She had grazed her elbow quite badly.

just, only
The bullet only grazed his shoulder.

on
He fell and grazed his knees on a rock

Graze is used with these nouns as the subject:
bullet, calf, cattle, cow, donkey, goat, goose, horse, lip, sheep

Graze is used with these nouns as the object:
cattle, knee, knuckle