## Calculus, 10th Edition (Anton)

Step by step understanding of the graph: Let us divide $y = |2x - 1| + 1$ into three parts: $y = |2x|, y = |2x - 1|, y = |2x - 1| + 1$. Part 1: $y = |2x|$ - this makes the slope of $y = |x|$ steeper. Informally, the "V" of the |x| graph becomes narrower. Part 2: $y = |2x - 1|$ this shifts the vertex point of the |2x| curve to (0.5,0) from (0,0). The x-coordinate is 0.5 because of the $2$ we multiplied with the x. Part 3: $y =$|2x - 1| + 1\$ - this shifts the y-cooordinate by 1 unit. The new coordinates become (0.5, 1) from (0.5, 0).