Mine doesn't have one my drain like coming from the washer sits like a U anyways

Traps prevent sewer gases from backflowing ... excellent reason to have such unless perhaps the standpipe discharges on one's yard.

Yes.

A washer that drains directly into a stand-pipe must have a stand-pipe 2" in size, and the pipe must have a P-trap and vent. The top of the stand-pipe must be above the flood level of the washer, or localities sometimes specify a minimum height.

However, it is quite common to drain a washer into a utility sink, which then provides the buffer/storage for the drain cycle. If it drains into a utility sink, the sink P-trap and drain is sufficient.

Bruce

That is the hose from the actual machine that has the U bend in it. The trap would be below that on the pipe you place the hose into.