Point B has coordinates (-2,-5).After a translation 4 units down, a reflection across the y axis and a translation 6 units up, what are the coordinates of the image?

The answer is (8,-9)

Step-by-step explanation:

The best way to go about this type of problem is by visualizing the translations at hand. We know that X comes first, (X,Y), in an ordered pair. The X coordinate is in regards to where the point is on the X axis, or left/right movement, whilst the Y is for up and down. As the problem states that the point is moved four units down, we can simply subtract 4 from the y coordinate, as it is in regards to up/down motion. This brings the new point to (-2,-9). As for reflections, if it is over the X axis the y coordinate sign is flipped and if it is over the y, as in the problem, the x coordinate sign is flipped. This will bring the new set to (2,-9). Lastly, there is the translation 6 units up. As we have learned, this is an up/down translation, so it pertains to the y coordinate. The final operation is to ADD 6 to the y coordinate thus bringing us to the final (8,-9).