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)`