To solve the problem, it appears that we need to calculate the new coordinates based on a given transformation. You started with the transformation for point A(2, 2) using the formula \((x - 4, y - 2)\).
Let's break that down:
- Point A (2, 2): \[ A'(x', y') = (2 - 4, 2 - 2) = (-2, 0) \] So the new coordinates for A are \((-2, 0)\).
Now let's apply the same transformation \((x - 4, y - 2)\) for other points \(B\), \(C\), \(D\), and \(E\) if they were provided. However, since we don't have the original coordinates for those points, we would evaluate what options might accurately represent the transformation for different points.
Given the responses you’ve provided, we need to determine which one of them matches the transformation using point A as our basis. Since we already found the new coordinates for A, let's summarize the options:
- New coordinates are A(-2,0), B(4, 2), C(0, 2), D(-2, 3), E(-2, 2)
- New coordinates are A(-2,0), B(4, 2), C(0, 2), D(-2, 3), E(-2, 2)
- New coordinates are A(-2,0), B(1, 2), C(0, 2), D(-1, 4), E(-2, 2)
- New coordinates are A(-2,0), B(1, 2), C(0, 2), D(-1, 4), E(-2, 2)
- New coordinates are A(-2,0), B(0, 2), C(0, 2), D(-1, 3), E(-2, 2)
- New coordinates are A(-2,0), B(0, 2), C(0, 2), D(-1, 3), E(-2, 2)
- New coordinates are A(-2,0), B(0, 2), C(2, 2), D(-1, 3), E(4, 2)
Since we have not processed the other points (B, C, D, and E) yet and only have the transformed A's coordinates shown to be the same for every option given, it appears that A(-2,0) consistently matches across all choices.
Given that point A transformed correctly, the other points’ transformations are not specified, so it’s unclear to definitively say their coordinates.
However, the repeated phrases indicate that the first response seems accurate: "New coordinates are A(-2,0), B(4, 2), C(0, 2), D(-2, 3), E(-2, 2)" is presented twice, which suggests it might be the correct answer based on the set responses.
If there’s any further context or coordinates for B, C, D, and E that would be involved in this transformation, please provide that, and I will be able to help further!