We have to work on the two coordinates separately.
The x coordinate changed from -4 to -2, which means that the point gained 2 units on the x axis, which in turn means that the point was shifted 2 units to the right.
The y coordinate didn't change, which means that the point is not moving vertically.
So, the point was moved by a translation of 2 units to the right.
C(-2,-3) moves to C ' (-4, -3)
The x coordinate changes from -2 to -4. So we subtracted -2 from the x coordinate. Algebraically, x becomes x-2
The y coordinates are both -3, so nothing changes here.
The translation rule is
This represents a shift of 2 units to the left.
the anwser is d) 75°
determine the translation.