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36a-16

Another way to write an equivalent expression is

4(9a-4)

Given:

An object is translated from A(-6, -4) to A'(-18,-8)

We need to determine the translation rule.

Translation rule:

The translation rule is given by

Substituting the coordinates of A and A', we get;

Equating the x and y coordinates, we get;

x - coordinate:

Thus, the value of h is -12.

y - coordinate:

Thus, the value of k is -4.

Hence, the translation rule is