Question

(x, y) → (x + , y + )
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Explanation:

Step1: Identify coordinates of Q and Q'

Let's assume from the graph, Q has coordinates \((x_1,y_1)\) and Q' has coordinates \((x_2,y_2)\). Suppose \(Q=(- 7,-5)\) and \(Q'=(3,3)\).

Step2: Calculate the change in x - coordinate

The change in x - coordinate (\(\Delta x\)) is \(x_2 - x_1\). So, \(\Delta x=3-(-7)=3 + 7 = 10\).

Step3: Calculate the change in y - coordinate

The change in y - coordinate (\(\Delta y\)) is \(y_2 - y_1\). So, \(\Delta y=3-(-5)=3 + 5 = 8\).

Answer:

\((x,y)\to(x + 10,y + 8)\)