Help to understand axes directions

Hello Mates, 
i'm having trouble understanding the proper axes directions between machine vs tool directions.
This is the first CNC I'm commissioning.

When the table is moving to the left, closer to the lathe the X should increment?
When the machine is moving toward the light blue wall the Y should increment?
When the table is moving down, closer to the floor, the Z should increment?

I'm setting my home positions and to order to:
1st: Z all the way down, nearest to the floor at value 0.0
2nd: X all the way to the left, nearest the lathe at value 0.0
3rd: Y all the way back, nearest to the wall at value 0.0

Greetings!
 

Does this help?
linuxcnc.org/docs/stable/html/user/user-...chine-configurations

Hi,

it did not, I stared a lot over the milling machine picture and just got more confused, I'm missing some concepts

Im still confused, Mr Aciera is says the first post is correct, Mr Tommy says X and Y are opposite , which is correct or what should I set?

Okay, thats why they were opposite, homing vs traveling direction, as I believe, I guess I'm missing some very basic concepts here.

I`m trying to understand how my machine should be set for home.
The travels are X 1000 mm, Y 450 mm and Z 400 mm.

How should I set the homing to be as trivial and safe as possible?
I thought as my first post:
I'm setting my home positions and to order to:
1st: Z all the way down, nearest to the floor at value 0.0
2nd: X all the way to the left, nearest the lathe at value 0.0
3rd: Y all the way back, nearest to the wall at value 0.0

Should I set 0 values for all axes? This would make my machine runs on negative coordinates all the time, right? What would be typical for a machine like this?

I really appreciate your help, guys.

Thanks guys, wrapped my head around but if worked!