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To solve this problem, let's first identify the coordinates of point \( B \) on the graph and then apply the given translation.

1. **Identify the coordinates of point \( B \):**
   From the graph, point \( B \) is located at \( (-3, -6) \).

2. **Apply the translation:**
   The translation is given as "5 units right and 1 unit up":
   - Moving **5 units to the right** means adding 5 to the x-coordinate: 
     \[
     -3 + 5 = 2
     \]
   - Moving **1 unit up** means adding 1 to the y-coordinate:
     \[
     -6 + 1 = -5
     \]

3. **Find the new coordinates:**
   After applying the translation, the new coordinates of \( B' \) will be \( (2, -5) \).

4. **Answer:**
   The correct option is:
   \[
   (2, -5)
   \]

Would you like a detailed explanation of how translations work or have any other questions?

Here are 5 related questions to further explore the topic:
1. What would be the coordinates of point \( G \) after the same translation?
2. How do you perform a reflection of a point across the y-axis?
3. What is the effect of translating a point 3 units left and 4 units down?
4. How do you rotate a point 90 degrees around the origin?
5. What is the difference between translation and rotation in coordinate geometry?

**Tip:** When performing translations, remember that moving "right" increases the x-coordinate, and moving "up" increases the y-coordinate.

What will be the coordinates of B' after translating point B by 5 units to the right and 1 unit up?

This problem involves translating point B by 5 units to the right and 1 unit up on a coordinate plane. Learn the step-by-step solution using the translation formula. Ideal for students in Grades 6-8 studying coordinate geometry and transformations.

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