Embarrass comes from Portuguese embaraçar, whose prefix (em-) is from Latin in- and whose base word means "noose." Although embarrass has had various meanings related to acts that hinder or impede, these days it most often implies making someone feel or look foolish.

Embarrass: Its Spelling and Use

Are you here because you spelled embarrass wrong? Don't be embarrassed.

Instead, remember that the word embarrass got those embarrassing r's and s's from the French: English embarrass comes from the French word embarrasser.

When used as an active verb, embarrass is most often seen in constructions like "x embarrasses/embarrassed me/them." The word is also very commonly used as a passive verb. In such cases, the preposition by is a frequent companion:

Private companies were embarrassed by being shown to co-operate with the American authorities.
— The Economist, 12 Nov. 2016

Teenagers are always easily embarrassed by their parents.
— Farley Granger, Include Me Out: My Life from Goldwyn to Broadway, 2007

In that moment, I know I have begun to assign the termites the powers of volition and desire, the experiences of pain and regret. I am embarrassed by this, and dare not mention it to the scientists.
— Duncan Murrell, Harper's, August 2005

People are also regularly embarrassed about something:

His attorney said he was embarrassed about the incident and didn't want anybody to notice him.
— Richard Martin, The Atlantic Monthly, June 2001

Fiction has no reason to be embarrassed about telling the same story again and again, since we all, with infinite variations, live the same story.
— John Simon, The New Republic, 21 Nov. 1983

Sometimes they're embarrassed (or not) on someone's behalf—that is, they're embarrassed for someone:

Nobody ever felt embarrassed for Yoko Ono.
— Bruno Maddox, Spy, November 1996

They're less commonly embarrassed at something:

She would be deeply embarrassed at my admiration, more so at my naming her in print.
— Nancy Harmon Jenkins, The New York Times Magazine, 4 May 1986

His cogent reasoning made me embarrassed at my own first reaction….
—David Greenberg, The New Republic, 14 Nov. 1994

Occasionally, and by some measures increasingly, people are embarrassed of something, as in "They're embarrassed of the way it happened." This use is not yet common in published, edited text and is considered by some to be a mistake.