Question

if a point voordnaiyes its -5,1 and is shifted down 5 and once to the right

Answer 1

Start with (-5, 1).

Shift down 5: y = 1 − 5 = −4.
Shift right 1: x = −5 + 1 = −4.

So the new point is (−4, −4).

(Equivalently, add the vector (1, −5) to the original point.)