Question

(x, y) → ( , ) submit

Explanation:

Step1: Analyze the x - coordinate change

Let's take a point, say $R(-2,-7)$ and its image $R'(1,4)$. The change in the x - coordinate is from $x=-2$ to $x = 1$. The difference is $1-(-2)=3$.

Step2: Analyze the y - coordinate change

The change in the y - coordinate of point $R$ is from $y=-7$ to $y = 4$. The difference is $4-(-7)=11$.

Step3: Determine the transformation rule

For any point $(x,y)$ in the original figure, the transformation rule to get the image point is $(x,y)\to(x + 3,y+11)$.

Answer:

$(x + 3,y + 11)$