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 which quadrant of the coordinate plane is pointed A located
B) what are the coordinates of translated point A’? In which quadrant of the coordinate plane is 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) To translate point A according to the rule (x,y) -> (x+1,y-5), we add 1 to the x-coordinate and subtract 5 from the y-coordinate. Therefore, the coordinates of point A' are:
x-coordinate of A' = x-coordinate of A + 1 = 4 + 1 = 5
y-coordinate of A' = y-coordinate of A - 5 = 2 - 5 = -3
So, point A' has coordinates (5,-3) and is located in the fourth quadrant of the coordinate plane.
C) To reflect point A' across the Y axis, we change the sign of its x-coordinate. Therefore, the coordinates of the reflected point A'' are:
x-coordinate of A'' = -x-coordinate of A' = -5
y-coordinate of A'' = y-coordinate of A' = -3
So, point A'' has coordinates (-5,-3) and is still located in the fourth quadrant of the coordinate plane.
A) Point A(4,2) is located in the first quadrant of the coordinate plane.
B) To translate Point A according to the rule (x,y) -> (x+1, y-5), we add 1 to the x-coordinate and subtract 5 from the y-coordinate:
x' = x + 1 = 4 + 1 = 5
y' = y - 5 = 2 - 5 = -3
Therefore, the coordinates of the translated point A' are (5, -3). A' is located in the fourth quadrant of the coordinate plane.
C) To reflect Point A' across the y-axis, we change the sign of the x-coordinate:
x'' = -x' = -(5) = -5
y'' = y' = -3
Therefore, the coordinates of the reflected point A'' are (-5, -3). A'' is still located in the fourth quadrant of the coordinate plane.