Most basement calls start with something you can feel. The floor over the basement is cold, the basement runs much cooler than the rooms above, or there's old insulation down there that looks damp or tired. Some of that is missing insulation, and some of it is air coming in where pipes, wires and framing meet the foundation, which is why I look at both.
The price moves with how much wall there is, whether water or old wet material has to be dealt with first, and which material goes on. Finished walls that have to come open add work. The schedule turns on the same things, plus a permit if your job needs one. I'll put your number on paper after I've looked at the space.
Whoever you hire, ask about their license. California licenses insulation contractors under its own class, the C-2, which covers putting in any insulating material to control heat or sound, so a basement job like this falls squarely under it.