Which of the following describes the graph of y =|x| after it has been reflected across the x-axis, shift vertically up 3 units, and shifted horizontally to the right 5 units.
The graph of y = |x| after reflecting across the x-axis will result in the same graph above the x-axis, but flipped below the x-axis.
After shifting the reflected graph vertically up 3 units, the entire graph will be shifted upwards by 3 units.
Finally, shifting the graph horizontally to the right 5 units will move the entire graph to the right by 5 units.
Therefore, the graph of y = |x| after these transformations will be shifted upwards by 3 units and to the right by 5 units from the original graph of y = |x|.