“Former Vice President Joe Biden is facing increased scrutiny over his record on busing and racial issues, and this week old comments resurfaced in which he said, in 1977, that busing for the purpose of desegregation would cause his children to ‘grow up in a racial jungle.

The quote is accurate as reported.
As The New York Times reported in a detailed delineation of Biden’s history with busing, Biden at the time had emerged as the Democratic party’s crusader against busing, taking the same side as segregationists. https://www.snopes.com/fact-check/biden-racial-jungle-quote/