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.