Here are the graphs of $y = |x|$ (blue solid line) and $y = |x| + 1$ (green dashed line) for the values of $x$ from -3 to 3:

• The graph of $y = |x|$ forms a V-shape with its vertex at the origin (0, 0).
• The graph of $y = |x| + 1$ is identical in shape but shifted upward by 1 unit, with its vertex at (0, 1).

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. How would the graph change if we shifted $y = |x|$ by 2 units downward?
2. What would the graph of $y = |x| - 2$ look like?
3. How does the slope of the lines for $y = |x|$ differ on either side of the y-axis?
4. What happens to the graph if we modify it to $y = |x + 1|$?
5. How would the graph of $y = -|x|$ differ from the original?

Tip: Absolute value functions often form V-shaped graphs, and vertical shifts occur by adding or subtracting constants directly to the equation.