What is the image of point (-5,-7) for mapping (x, y) , (x-4, y-4) also ! how does one even do this!

(-9, -11)

Explanation:
We are given that the original point (x,y) is (-5,-7) and that the image point is
(x-4, y-4)

Now, let's check the x-coordinate:
The original coordinate was x and the image one is x-4.
This means that we can obtain the value of the image x-coordinate by subtracting 4 from the original x-value. 
We know that the original x-value is -5, this means that:
x-coordinate of image = -5-4 = -9

Now, let's check the y-coordinate:
The original coordinate was y and the image one is y-4.
This means that we can obtain the value of the image y-coordinate by subtracting 4 from the original y-value. 
We know that the original y-value is -7, this means that:
y-coordinate of image = -7-4 = -11

Based on the above, the image would be at (-5, -11)

Hope this helps :)