Help me find the answard.

Question

Point A is located on the coordinate plane at the point (-4, 8). If Point A is reflected across the y-axis, then translated up 2 units to create point A', what is the x-coordinate of point A'?

Answer 1

This would be easier with a picture, so try to visualize each step.

1. Plot the original Point A. The x-value is -4 so you start at the origin (0,0) and go left 4 units. The y-value is 8 so you then go up 8 units. You should be in Quadrant 2.

2. Reflect the point across the y-axis. You could picture folding a paper with the crease along the up-and-down (vertical) axis and then see where Point A "touches" the other half of the paper. This touching point is still 4 units away from the crease/y-axis, but in the opposite direction. The height is still 8 units up from the x-axis. So, the coordinates of the reflected point are (4, 8). You are now in Quadrant 1.

3. Translate the reflected point up 2 units. In other words, from the new point (4,8), go up 2 units. The x-coordinate does not change. The point is still 4 units to the right of the y-axis. However, it is 2 units higher so the y-coordinate will be 10. Plot this new point and label it as A'. It should be at (4,10). The x-coordinate is the first number in the ordered pair (4).

I hope that helps!