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QUESTION IMAGE

(x, y) → (x + □, y + ) submit

Question

(x, y) → (x + □, y + )
submit

Explanation:

Step1: Identify coordinates of original and new - points

Let's assume point $I$ has coordinates $(x_1,y_1)$ and $I'$ has coordinates $(x_2,y_2)$. From the graph, if we assume $I=(- 7,-4)$ and $I'=(2,2)$.

Step2: Calculate the change in $x$ - coordinate

The change in the $x$ - coordinate $\Delta x=x_2 - x_1$. So, $\Delta x=2-(-7)=2 + 7=9$.

Step3: Calculate the change in $y$ - coordinate

The change in the $y$ - coordinate $\Delta y=y_2 - y_1$. So, $\Delta y=2-(-4)=2 + 4=6$.

Answer:

$(x,y)\to(x + 9,y + 6)$