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
[tex]A(x,y)\rightarrow (x+h,y+k)\rightarrow A'(x,y)[/tex]
Substituting the coordinates of A and A', we get;
[tex]A(-6,-4)\rightarrow (-6+h,-4+k)\rightarrow A'(-18,-8)[/tex]
Equating the x and y coordinates, we get;
x - coordinate:
[tex]-6+h=-18[/tex]
[tex]h=-12[/tex]
Thus, the value of h is -12.
y - coordinate:
[tex]-4+k=-8[/tex]
[tex]k=-4[/tex]
Thus, the value of k is -4.
Hence, the translation rule is [tex](x,y)\rightarrow (x-12,y-4)[/tex]
