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 it has been reflected across the x-axis, shifted vertically up 3 units, and shifted horizontally to the right 5 units will be the same as the graph of y=|x-5| + 3.

This means that the absolute value function is shifted 5 units to the right and 3 units up from the origin.