If we start with the graph y = 2|x| this has a vertex at the origin (0, 0). When x = 0 y = 0 and the absolute value lines about the x indicate that all values of y are positive. The -3 translates it 3 units to the right to point (3,0). The + 1 moves it vertically up 1 unit
So the vertex is at the point (3, 1) (answer)