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QUESTION IMAGE

fg is a translation of fg. write the translation rule. (x,y)→(x+ ,y+ )

Question

fg is a translation of fg. write the translation rule.
(x,y)→(x+ ,y+ )

Explanation:

Step1: Find the coordinates of \(F\) and \(F'\)

From the graph, \(F(-2,-1)\) and \(F'(9,8)\)

Step2: Calculate the change in \(x\) - coordinate

The change in \(x\) - coordinate \(\Delta x=9 - (-2)=9 + 2 = 11\)

Step3: Calculate the change in \(y\) - coordinate

The change in \(y\) - coordinate \(\Delta y=8-(-1)=8 + 1=9\)

Answer:

\((x,y)\to(x + 11,y+9)\)