Question

See attached graph picture

Answer 1

According to the graph, we have:

- The coordinates of the RSTU square are:

R(-6, 4)

S(-2,4)

T(-2, 8)

U(-6, 8)

- The coordinates of the R'S'T'U' square are:

R'(3, -1)

S'(7, -1)

T'(7, 3)

U'(3, 3)

Therefore, applying the translation rule (x,y) --> (x + a, y + b), so:

- For R

`(-6+a,4+b)\rightarrow(3,-1)`

With this we have the following equations:

`\begin{gathered} -6+a=3 \\ -6+a+6=3+6 \\ a=9 \\ and \\ 4+b=-1 \\ 4+b-4=-1-4 \\ b=-5 \end{gathered}`

So, a = 9 and b = -5

Next, the translation rule is given by:

(x, y) ---> (x + 9, y - 5)

Answer: (x, y) ---> (x + 9, y - 5)