Question

Point A(4,2) is translated according to the rule (x,y)-> (x+1, y-5) and then reflected across the Y-axis.

A) Which quadrant of the coordinate plane is point A located?
B) What are the coordinates of the 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 the quadrant of the coordinate plane is A" located?

Answer 1

Given:

Point A with coordinates: (4, 2) is in the first quadrant.

The point is translated to the rule (x, y) --> (x+1, y-5)

Now, point A becomes (4+1, 2-5) = (5, -3) which is now in quadrant 4.

The point is reflected across the y-axis. Now, it is in the third quadrant.