Question

xy is a translation of xy. write the translation rule.

Explanation:

Step1: Identify the change in x - coordinates

Let's assume a point $(x,y)$ on $XY$ and its corresponding point $(x',y')$ on $X'Y'$. For example, if we take a general point on $XY$ and observe its movement to $X'Y'$. By looking at the graph, we can see that for the x - coordinate, if the original x - coordinate of a point on $XY$ is $x$, the new x - coordinate $x'$ on $X'Y'$ is obtained by adding 10 to $x$. That is $x'=x + 10$.

Step2: Identify the change in y - coordinates

For the y - coordinate, if the original y - coordinate of a point on $XY$ is $y$, the new y - coordinate $y'$ on $X'Y'$ is obtained by subtracting 10 from $y$. That is $y'=y-10$.

Answer:

$(x,y)\to(x + 10,y - 10)$