back off phrasal verb ( see also ↑ back )
1 . to move backwards, away from someone or something:
She backed off and then turned and ran.
2 . to stop telling someone what to do, or stop criticizing them, especially so that they can deal with something themselves:
I think you should back off for a while.
Back off, Marc! Let me run my own life!
3 . to stop supporting something, or decide not to do something you were planning to do:
Jerry backed off when he realized how much work was involved.
back off from
The company has backed off from investing new money.