How do you find the vertex of #2abs(x-4)+ 1=y#?
Vertex is (4,1)
Vertex of y=|x| has a vertex at (0,0). If there is horizontal translation to the right by 4 units and vertical translation up by 1 unit and vertical stretch by a factor of 2, we will have the given equation. Hence it is clear that its vertex is (4,1)