The problem involves applying the translation rule $(x, y) \to (x + 1, y + 5)$ to each vertex of the triangle on the graph. Let's work through this step by step.

Coordinates of the original points:

• A: Looking at the grid, point $A$ is at $(-3, 0)$.
• B: Point $B$ is at $(-1, -2)$.
• C: Point $C$ is at $(-4, -3)$.

Applying the translation $(x, y) \to (x + 1, y + 5)$:

• For A: $(-3 + 1, 0 + 5) = (-2, 5)$
• For B: $(-1 + 1, -2 + 5) = (0, 3)$
• For C: $(-4 + 1, -3 + 5) = (-3, 2)$

Final coordinates after translation:

• $A' = (-2, 5)$
• $B' = (0, 3)$
• $C' = (-3, 2)$

You can now enter these values into the answer boxes.

Would you like a more detailed explanation of the translation process or help with part b? Here are five related questions:

1. How do translations affect the orientation of geometric shapes?
2. Can translations change the size or shape of a figure?
3. How do we translate a point if the translation rule was $(x - 2, y + 3)$?
4. What is the difference between translation and reflection in transformations?
5. How would you translate a figure using vector notation?

Tip: Always ensure you're applying the translation rule correctly to both the $x$- and $y$-coordinates to avoid errors!