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Given:
The graph of a translation. X'Y' is a translation of XY.
To find:
The rule of the translation.
Solution:
Let the rule of the translation be
...(i)
So, we need to find the value of a and b.
From the given graph, it is clear that X(-4,-9) and X'(-1,0).
Using (i), the image of X(-4,-9) is
We have, X'(-1,0). So,
On comparing both sides, we get
And,
So, the missing values in the rule of the translation are 3 and 9 respectively.
Therefore, the rule of translation is .