1. Point A is at $(-4, 6)$. It is translated using the rule $(x, y) \rightarrow (x + 8, y - 3)$. What is the x-coordinate of the image A'?
2. Point M is located at $(2, -7)$. If it is translated using the rule $(x, y) \rightarrow (x - 9, y + 4)$, what are the coordinates of the image M'?
3. A point with coordinates $(-1, -5)$ is translated by the rule $(x, y) \rightarrow (x + 3, y + 2)$. The y-coordinate of the resulting point is ___.
4. A triangle ABC is translated using the rule $(x, y) \rightarrow (x - 2, y + 5)$. How do you find the coordinates of the translated triangle A'B'C'?
5. Point Z has coordinates $(-8, -3)$. After a translation using the rule $(x, y) \rightarrow (x + 4, y - 5)$, the y-coordinate of the image Z' is ___.
6. A triangle is translated 6 units left and 2 units up. Which of the following properties of the triangle is NOT preserved in its image?
7. A quadrilateral has vertices $P(-4, 5)$, $Q(-1, 5)$, $R(-1, 1)$, and $S(-4, 1)$. If the figure is translated 5 units right and 7 units down, what are the coordinates of the vertex $P'$? ___
8. A point $G$ is translated to its image $G'$. If the translation is described by the rule $(x, y) \rightarrow (x - 8, y + 5)$ and the image is at $G'(-3, 1)$, what were the original coordinates of point $G$? ___
9. A character in a video game moves from position $A(8, -3)$ to position $A'(-2, 4)$. Which algebraic rule describes this translation?
10. A triangle with vertices $J(0, 4)$, $K(5, 6)$, and $L(3, 1)$ is translated 4 units left and 5 units down. What are the coordinates of the image vertex $K'$? ___