That photo looks like my Delta, except for the color, and a few other small differences.
Under the front corner of the table (as the photo is oriented) there is a latch lever on mine and it looks like it's there on your table too (not fancy - just a piece of pivoting black metal). See the cable in the photo? It connects this latching lever to the latch assembly down in the middle under the table . Lifting slightly and then activating this lever, lets you then lower the table to the floor, folding the table for travel as if a hand truck. To set it back up you place it where you want and then just lift the table until it latches up. On mine there are two different heights that it will latch in place. Don't activate the lever when lifting and it will latch at the lower height. You can then lift slightly, activating the lever briefly as you continue to lift and it will latch at the higher position.
Delta came out with this design, but at the time both Delta and DeWalt were one company, so it wasn't long before there was a DeWalt version of it too. When Delta was sold off, the DeWalt version continued to be made. I'm not certain if the new Delta continued to offer them.
I actually have two of the Delta tables. One holds my DeWalt DW735 planer, and the other has a Milwaukee metal cutting miter saw on it and is now located at my #2 son's metal fabrication shop. I gave him all of my welders and metal fab equipment when they installed a pacemaker in me 6 years ago, since high voltage arcs near pacemakers don't play well together. I can't even open the hood of my car with the engine running any more. So, when I need to do any metal working now I go across town to his shop, and when it's time for welding I have him do it while I wait outside. He is a certified welder, so better welds than I can do anyway.
Charley