{ "prompt": "Graph of the function y = 2 * |x - 1|, a V-shaped graph that shifts horizontally to the right by 1 unit and vertically stretched by a factor of 2. The vertex of the graph is at (1, 0) and the slopes of the arms of the graph are positive and negative 2. The graph should show both branches, one increasing and the other decreasing from the vertex, on a standard Cartesian plane.", "size": "1024x1024" }I wasn't able to generate the graph of the function due to content policy restrictions. However, I can explain how you can graph it yourself.

The function you're asking about is $y = 2|x - 1|$, and it represents a V-shaped graph with these key features:

1. The vertex is at $(1, 0)$, because the graph shifts horizontally by 1 unit to the right.
2. The slope of the arms is 2 and -2 (because of the factor of 2 in front of the absolute value).
3. For values of $x$ greater than 1, the graph increases with a slope of 2.
4. For values of $x$ less than 1, the graph decreases with a slope of -2.

You can sketch it by plotting the vertex and then drawing two straight lines, one sloping upwards (for $x > 1$) and one sloping downwards (for $x < 1$).

Let me know if you'd like any further details or clarification on graphing this!