The common idiomatic expressions are:
Are you done for the day?
Have you wrapped things up for today?
"studying" is implied in all of these. If you want to include the word:
Are you done studying for today?
The expressions "for the day" and "for today" express exactly what you're asking about.
First, let's start with a declarative main clause:
It's supposed to look like this.
We'll turn it into a question by replacing this with what:
It's supposed to look like what?
But this sort of question is only allowed under special circumstances – for example, if you couldn't hear what someone said, or if you wanted to express incredulity at what they said.
Let's turn it into a normal question instead (an interrogative clause):
What is it supposed to look like ＿＿＿?
We did two things here:
- We moved what to the front of the sentence, leaving behind a gap, which I've marked using an underline. Normally the gap would not be written down.
- We inverted the subject it with the auxiliary is.
We had to do step #2 because this was a main clause; main clause interrogatives are marked by subject–auxiliary inversion, unless the wh-phrase is part of the subject.
In your example, we have the same thing, except it's a subordinate clause:
Is that [ what it's supposed to look like ＿＿＿ ] ?
Subordinate interrogatives are not marked by subject–auxiliary inversion, so the only thing we need to do here is move what to the front. The subject and auxiliary remain in their original order: it's, not is it.
Your version is the same thing, but it omits the subject it:
*Is that [ what ∅'s supposed to look like ＿＿＿ ] ?
Here, the ∅ symbol indicates that something has been left out. However, there is nothing that would allow you to omit the subject here, so your example is ungrammatical.
In this answer, the * symbol indicates that a sentence is ungrammatical.
Best Answer
The phrase could be used to ask if the person has finished the task that is being done at the time of or just before(not long ago) asking. For example I'm stuck with a bug in my program and trying to debug it. My friend knows about it and wants to acknowledge my current status. He may come to me and ask if I'm through.
This phrase represent the past tense and the task could have taken place long ago. For example, I'm telling my friend that I was working on a script that does something. But my friend stops me and says "Skip to the end. Did you finish it?". In this case, my friend knows that I'm no longer working on the script. If I were, he would have asked "Have you finished the script?"
A more closer phrase to "Are you through?" is "Are you done?". It can be used in all the cases that you've mentioned. For example: