Your answer would be, Point A(4, 2) is translated according to the rule (x, y) ==> (x + 1, y - 5), and then reflected across the Y- Axis.
A.). So, Point A(4, 2) is in the first Quadrant.
B.). The Co-ordinates translated Point A (5, - 3), are in the Fourth Quadrant.; Lower Right
C.). The Co-ordinates of the reflected Point A ( - 5, - 3), are in the Third Quadrant.
Reflection Across Y- Axis:
(x, y) ===> ( - x, y) ======> (5, - 3) ====> ( -5, - 3)
Reflection:
(x, y) ====> ( x + 1, y - 5) =====> ( 4, 2) =====> (5, - 3)
Y - Axis =======> l ======> A
X - Axis l =======> A =======> l =======> A
Hope that helps!!! : )