Draw the graph of y=|x| and y=|x|+ for the values of x from - 3 to 3

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.

Draw the graph of y=|x| and y=|x| + 1 for the values of x from -3 to 3.

This tutorial explores how to graph the absolute value functions y=|x| and y=|x| + 1 for values of x ranging from -3 to 3. Learn about V-shaped graphs, vertical shifts, and how these functions behave on a coordinate plane. Ideal for students in Grades 6-8.

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