Can you tell me what is the part that is broken off from my engine which is connect to my gear

Hey there
I have a problem with my camry, I know exactly what causes it but I dont know what is it call. Well here is my story I went out into my car and start engine it work and I step on the brake which it also work but when I pull my automatic gear into reverse it seems a little strange and I notice that it went smootly and the gear did not get in place, I checked the engine and seems like some kinda hose is broken off. I told my brother to switch it while im in front and looked at it and yep its broken and it seems to move up and down when he switch it. Can you tell me what is the part name because it is hard to find when you dont know what the part is. Thank you very much