zumachen
to close
To close an object, an opening, or a container so that nothing can get in or out anymore.
Kannst du bitte das Fenster zumachen? Es zieht.
Can you please close the window? There’s a draft.

to close / hurry up
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to close
To close an object, an opening, or a container so that nothing can get in or out anymore.
Kannst du bitte das Fenster zumachen? Es zieht.
Can you please close the window? There’s a draft.

'Zumachen' (to close) is a separable verb. The prefix 'zu' goes to the end in main clauses. In subordinate clauses and in the infinitive with 'zu,' the verb stays together.
Ich mache schnell die Tür zu.
I’ll quickly close the door.
The verb 'zumachen' (to close) is very common in everyday spoken language. It often sounds more direct and informal.
Mach bitte die Jacke zu, es ist kalt draußen.
Please zip up your jacket; it’s cold outside.
Common things that you 'zumacht' (close) are openings or objects with openings. Typical examples are: 'die Augen zumachen' (to close one’s eyes), 'den Mund zumachen' (to close one’s mouth / shut one’s mouth), 'ein Buch zumachen' (to close a book), or 'einen Reißverschluss zumachen' (to zip up a zipper).
Wenn ich müde bin, kann ich kaum die Augen aufhalten und mache sie einfach zu.
When I’m tired, I can hardly keep my eyes open and just close them.
The command 'Mach zu!' is a fixed colloquial expression and means 'Hurry up!' It is used without an object and is very informal.
Mach endlich zu, wir kommen zu spät!
Hurry up already, we’re going to be late!
to lock / to complete
'abschließen' and 'zumachen' can both mean that something is no longer open. The difference lies in the type of closing. 'zumachen' only says that you close a door, a window, a bag, or a container. 'abschließen' additionally means that you secure something with a key or bolt. That is why you can close a door without locking it. The words can be confused because in many everyday situations, both happen one after the other.

Nach dem Lüften macht mein Bruder das Fenster wieder zu.
After airing the room, my brother closes the window again.
Bitte schließ die Haustür ab, wenn du als Letzter gehst.
Please lock the front door if you are the last to leave.