Question

if you go down, its y
the new image is the one that is darker.
describe the translation.
(x,y)→
describe the translation.
(x,y)→

Explanation:

Step1: Analyze the first - pair of figures

For the first pair of figures, observe the change in the position of a point. Let's take a reference point on the original figure. If we assume a point \((x,y)\) on the original figure, by counting the grid - squares, we can see that it moves 4 units to the right and 3 units up. So the translation rule is \((x,y)\to(x + 4,y+3)\).

Step2: Analyze the second - pair of figures

For the second pair of figures, take a reference point on the original figure. By counting the grid - squares, we find that a point \((x,y)\) on the original figure moves 2 units to the left and 5 units up. So the translation rule is \((x,y)\to(x - 2,y + 5)\).

Answer:

First: \((x,y)\to(x + 4,y+3)\)
Second: \((x,y)\to(x - 2,y + 5)\)