What is the image point of (-3, 0) after a translation right 5 units and down 2 units

The image point would be (2,-2)

When dealing with simple translations like this, we can this of translations as a number line: as your number increases, it goes to the right, if your number decreases, it goes to the left (atleast for the x-axis).

Because 5 units to the RIGHT would mean adding (because a number line when going towards the right means addition) then we add 5 to -3 which would get us 2.

Next we have the translation for going DOWN 2 units. Usually up and down can also be associated with addition and subtraction, in this case, up is addition and down is subtraction. This question says DOWN 2 units, therefore we subtract 2 from the already given 0 in the point, therefore we get -2 as our y-value.

This combined x and y value would then leave you with the image point of (2,-2)