XY is a translation of XY. Write the translations as a rule applied to each coordinate (x, y).
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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 .

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