point a (4,2) is translated according to the rule (x,y)->(x+1,y-5) then reflected across the y axis

a) what quadrant of the coordinate plane is point a located?
b) what are the coordinates of translated point a?
c) what are the coordinates of reflected point a?

a) Point A is located in quadrant I.

b) The translated point A would be (5,-3), since we add 1 to the x-coordinate and subtract 5 from the y-coordinate according to the given rule.

c) To reflect a point across the y-axis, we simply negate the x-coordinate while keeping the y-coordinate the same. So the reflected point A would be (-5,2), since we change the sign of the x-coordinate from positive to negative.