which word or phrase is wrong?

Her mother asked her what would she do after she graduated from college.
her-would-she do-from

which one is wrong? my answer is would

And your answer is?

"her-would-she do-from" ???? I don't know what that means.

You're right. Would is misplaced in the sentence. The word is not wrong, per se. It's in the wrong place.

Where, in the sentence, should it be?

what she would do

Yes.

Direct question:
Her mother asked, "What will you do after you graduate from college?"

Indirect question:
Her mother asked what she would do after she graduated from college.

Notice the changes in the verb -- in both tense and placement in the sentence.

thanks for explain

The word "would" is in the wrong position in this sentence. The correct form is "Her mother asked her what she would do after she graduated from college."

To determine the correct answer, you need to understand the structure of reported or indirect speech. In reported speech, we usually change the tense of the verb in the reported clause. In this case, "asked" is in the past tense, so we need to change "would" from its original position before the subject "she" to after the subject in the reported clause. This creates the correct sentence: "Her mother asked her what she would do after she graduated from college."