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The problem in the image asks to complete a table of values for the function \(-2f(x - 3)\) at the points \((-1, 0)\), \((0, 4)\), and \((2, 3)\).

To solve this, we need to understand the expression given and how to compute the values for the given points. Here's the general approach:

1. **Understand the Function**: We are given \(-2f(x - 3)\). This function involves an unknown function \(f\) applied to the expression \(x - 3\), which is then multiplied by \(-2\).

2. **Plug in the Points**: For each point \((x, y)\), substitute \(x\) into the expression \(x - 3\), and then find \(f(x - 3)\). After that, multiply by \(-2\).

However, to complete the table, we need to know the specific form of \(f(x)\). Without that, we cannot find the exact values. If \(f(x)\) were provided, we could evaluate it directly.

If you have more details about \(f(x)\) or need further help with assumptions, feel free to share!

Would you like to discuss this further or need additional information? Here are some related questions that might help:

1. What is the form of the function \(f(x)\)?
2. How do we handle transformations of functions like \(x - 3\) inside \(f(x)\)?
3. What would happen if \(f(x)\) is a linear function?
4. How do negative coefficients like \(-2\) affect function transformations?
5. What is the impact of shifting \(x\) by 3 units on the graph of \(f(x)\)?

**Tip**: Always check if the function \(f(x)\) is provided or if there are any assumptions you can make based on the problem context.

Complete a table of values for -2f(x - 3) for the points (-1, 0), (0, 4) and (2, 3).

Understand how to complete a table of values for the transformed function -2f(x - 3) at given points (-1, 0), (0, 4), and (2, 3). This problem covers key concepts in function transformations and algebra, suitable for students in Grades 10-12.

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