which of the following describes the graph of y=|x| after it has been reflected across the x-axis, shifted vertically up 3 units, and shifted horizontally to the left 6 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 left 6 units will be a V-shaped graph with the vertex at (0,3) and the arms extending to the left and right. The vertex will now be located at (-6,3) with the arms extending to the right.