Question

An object is translated from A (-6, -4) to A' (-18, -8). What is the translation rule?

Answer 1

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

$A(x,y)\rightarrow (x+h,y+k)\rightarrow A'(x,y)$

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

$A(-6,-4)\rightarrow (-6+h,-4+k)\rightarrow A'(-18,-8)$

Equating the x and y coordinates, we get;

x - coordinate:

$-6+h=-18$

        $h=-12$

Thus, the value of h is -12.

y - coordinate:

$-4+k=-8$

        $k=-4$

Thus, the value of k is -4.

Hence, the translation rule is $(x,y)\rightarrow (x-12,y-4)$