Translations

1. Plot the image of point \(Q\) under the translation \((x, y) \rightarrow(x+1, y+2)\).

2. Plot the image of point \(P\) under a translation by 5 units to the right and 7 units down.

3. Point \(P^{\prime}\) is the image of \(P(5,-5)\) under a translation by 2 units to the left and 5 units up.

What are the coordinates of \(P^{\prime}\)?

(_________, _________)

4. Point \(P^{\prime}\) is the image of \(P(6,0)\) under the translation \((x, y) \rightarrow(x-6, y-1)\).

What are the coordinates of \(P^{\prime} ?\)

(_________, _________)