https://file.aiquickdraw.com/mathbot/file/1727249709171ur0txtf6.jpg

Let's break down the problem and solve it step by step.

We have two points:  
- \( A(-2, 6) \)  
- \( B(-3, 5) \)

The transformations that will be applied are as follows:

1. **Translation** by vector \( T\left( \frac{2}{3} \right) \), meaning we add 2 to the x-coordinates and subtract 3 from the y-coordinates of both points.
   
   For point \( A(-2, 6) \):
   \[
   A' = (-2 + 2, 6 - 3) = (0, 3)
   \]

   For point \( B(-3, 5) \):
   \[
   B' = (-3 + 2, 5 - 3) = (-1, 2)
   \]

2. **Reflection** over the line \( y = -x \). To reflect a point over this line, we switch the coordinates and change their signs. In other words, the reflection of a point \( (x, y) \) over the line \( y = -x \) is \( (-y, -x) \).

   For point \( A'(0, 3) \):
   \[
   A'' = (-3, 0)
   \]

   For point \( B'(-1, 2) \):
   \[
   B'' = (-2, 1)
   \]

3. **Rotation** by 90° clockwise. A 90° clockwise rotation transforms a point \( (x, y) \) into \( (y, -x) \).

   For point \( A''(-3, 0) \):
   \[
   A''' = (0, 3)
   \]

   For point \( B''(-2, 1) \):
   \[
   B''' = (1, 2)
   \]

So, after performing all the transformations, the final coordinates of \( A \) and \( B \) are:
- \( A(0, 3) \)
- \( B(1, 2) \)

Thus, the correct answer is **D**.

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Let me know if you'd like further clarifications or details on any of the steps!

### Related Questions:
1. How do you find the result of a 180° rotation?
2. What is the general formula for reflecting a point over a vertical or horizontal line?
3. How do we rotate points by angles other than 90°?
4. What are the properties of translations in coordinate geometry?
5. How do you reflect a point over an arbitrary line (not axes or \( y = -x \))?

**Tip:** To reflect a point over the line \( y = x \), simply switch the coordinates \( (x, y) \to (y, x) \).

Sebuah titik A(-2,6) dan B(-3,5) ditranslasi oleh T(2, -3), dilanjutkan refleksi oleh garis y = -x. Kemudian hasilnya dirotasi sejauh 90° searah jarum jam. Bayangan titik A dan B berturut-turut adalah?

Learn how to perform a translation, reflection, and 90° clockwise rotation on points A(-2,6) and B(-3,5). This problem uses key geometry concepts and formulas for students in Grades 9-11.

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