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The image you uploaded contains a worksheet on graphing absolute value equations, which asks to find the **domain**, **range**, and **vertex** for each function. Here's how to approach each problem:

### General form of an absolute value function:
\[ y = a |x - h| + k \]
- **Vertex**: \( (h, k) \)
- **Domain**: Always \( (-\infty, \infty) \) since absolute value functions are defined for all \( x \).
- **Range**: Depends on \( a \) (if \( a > 0 \), the function opens upward; if \( a < 0 \), it opens downward).

Now, let’s solve the first few problems:

### 9. \( y = 2 |x| \)
- **Vertex**: Since there is no shift in \( x \) or \( y \), the vertex is at \( (0, 0) \).
- **Domain**: \( (-\infty,

Find the domain, range, and vertex for each absolute value function provided on the worksheet.

This worksheet focuses on graphing absolute value functions and finding their domain, range, and vertex. It covers the general form y = a |x - h| + k and provides practice for students in Grades 9-12.

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