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The task involves matching each table of data with its corresponding equation on the right and briefly explaining why they match.

Here are the steps to approach this:

### 1. Analyze the Tables:
Each table shows a set of \(x\) and \(y\) values. We need to determine the relationship between the variables, which should match one of the equations given on the right-hand side.

### 2. Equations on the Right:
The possible equations are:
1. \( y = x \)
2. \( y = 3x - 1 \)
3. \( y = x + 3 \)
4. \( y = x^2 \)
5. \( y = -x^2 \)
6. \( y = x^2 + 3 \)

### 3. Match the Data from Each Table:

#### Table A:
- \(x = 1, 2, 0, -1, -2\)
- \(y = 4, 7, 3, 0, -2\)

Let’s check the equation \( y = 3x - 1 \):
- For \( x = 1 \), \( y = 3(1) - 1 = 2 \), but the actual value is \( y = 4 \), so this doesn't match.
Try \( y = x + 3 \):
- For \( x = 1 \), \( y = 1 + 3 = 4 \)
- For \( x = 2 \), \( y = 2 + 3 = 5 \) (Does not match exactly with table A either).

I will calculate carefully based on patterns, then match with best

Match each table of data on the left with its equation on the right and briefly explain why it matches the data.

Learn how to match data tables to their corresponding linear and quadratic equations. This exercise involves recognizing patterns in data and applying equations like y = mx + b and y = x^2. Suitable for Grades 7-9.

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