The image you've provided contains a problem on translating coordinates, specifically focusing on translating a triangle. Let's break down the content for you.

The task is:

Translate all the vertices of the triangle labeled "ABC" on the grid using the given translation instructions. The vertices of the triangle are clearly labeled with their coordinates.

Options include:

• A translation by $-2$ horizontally and $-3$ vertically.
• A translation by $+5$ horizontally and $+1$ vertically.
• A translation by $-3$ horizontally and $+2$ vertically.

From here, based on the grid, the coordinates of the triangle's vertices (A, B, C) need to be shifted according to the chosen translation. Each choice modifies the coordinates based on the given instruction.

Would you like a detailed explanation of how to apply one of these translations, or should I assist with solving the question?

Here are 5 related questions to expand understanding:

1. What are the new coordinates of the triangle after applying the translation of $-2$ horizontally and $-3$ vertically?
2. How do you determine the direction and magnitude of translations on a coordinate grid?
3. What is the difference between translating horizontally and vertically on the coordinate plane?
4. Can you apply multiple translations in succession? If so, how does that affect the coordinates?
5. How can translations be represented using vector notation?

Tip:

When translating points, remember that moving left decreases the x-coordinate, moving right increases the x-coordinate, moving up increases the y-coordinate, and moving down decreases the y-coordinate.