Question

figure ii is a translation image of figure i. write a rule to describe the translation. the translation rule is (x,y)→(x + (),y + ()).

Explanation:

Step1: Identify horizontal shift

Count the number of units Figure I moves horizontally to become Figure II. By observing the grid, we see it moves 3 units to the right. In a translation rule $(x,y)\to(x + a,y + b)$, for a right - shift, $a$ is positive. So $a = 3$.

Step2: Identify vertical shift

Count the number of units Figure I moves vertically to become Figure II. It moves 4 units down. In the translation rule, for a down - shift, $b$ is negative. So $b=- 4$.

Answer:

$(x,y)\to(x + 3,y-4)$