what is the image of G(-6,11) after a reflection over the line x=-2

Answer 1

Remember a reflection is a mirror image of Point G on the other side of the line. It might help to draw a graph so you can visualize this. Plot Point G (-6,11), then draw the line x = -2. The reflected image will be exactly the same distance away from x = -2 on the opposite side of x = -2.

On the graph, you can see that x= -6 is exactly 4 units to the left of x = -2. The point 4 units to the right of x = -2 is 2. So the reflected image is (2, 11). The y-coordinate does not change because you are reflecting over a vertical line.