Point A (4,2) is translated, according to the rule (x,y)—> (x+1,y-5) and then reflected across the y-axis.
a) in what quadrant of the coordinate plane is point a located?
b) what are the coordinates of translated point A’? In which quadrant of the coordinate plane is point A” located
c) what are the coordinates of reflected point A”? In which quadrant of the coordinate plane is point A” located?
a) Point A is located in the first quadrant of the coordinate plane since both coordinates are positive.
b) The coordinates of translated point A' can be found by applying the given rule to the coordinates of point A: A' = (4+1, 2-5) = (5,-3). Point A' is located in the fourth quadrant of the coordinate plane.
c) To reflect a point across the y-axis, we change the sign of the x-coordinate while keeping the y-coordinate the same. So, the coordinates of reflected point A" are (-5,-3). Point A" is also located in the fourth quadrant of the coordinate plane.