Question

Match the equation, graph, key features, and the transformation on the parent function to the table of values of each function.

Answer 1

To assist you effectively, I would need specific equations, graphs, key features, transformations, and the corresponding table of values for the functions you mentioned. Once you provide those details, I can help you match everything accordingly.

However, I can give you a general example of how to analyze functions based on their equations, transformations, and corresponding values.

### Example
**1. Parent Function:** \( f(x) = x^2 \) (Quadratic Function)

**2. Transformation:** \( g(x) = (x - 2)^2 + 3 \)
- This represents a **horizontal shift** to the right by 2 units and a **vertical shift** upwards by 3 units.

**3. Key Features:**
- Vertex at (2, 3)
- Opens upwards
- Axis of symmetry at \( x = 2 \)

**4. Table of Values**:

| x | g(x) |
|-----|-------|
| 0 | 7 |
| 1 | 6 |
| 2 | 3 |
| 3 | 4 |
| 4 | 7 |

### Matching:
- **Equation:** \( g(x) = (x - 2)^2 + 3 \)
- **Graph:** A parabola that opens upwards with vertex at (2, 3).
- **Key Features:** Vertex, axis of symmetry, and direction of opening.
- **Transformation:** Horizontal shift right and vertical shift upwards.

If you provide specific functions or data, I'd be happy to walk through the matching process with those details!