Respuesta :

Answer:

4 unit to the left side and 1 unit to the down.

Step-by-step explanation:

We have to find the translation which is represented by translation rule

[tex](x,y)\rightarrow (x+4, y-1)[/tex]

We can see that

The coordinate x shift 4 unit toward left side on x- axis .

The coordinate y shift 1 unit downward on y- axis.

Suppose,we have (x,y)=(4,6)

x=4,y=6

x+4=4+4=8

y=6-1=5

Then, the new coordinate (x',y')=(8,5) is obtained by shifting x- coordinate 4 units towards left and y-coordinate shift 1 unit downward.

Hence, the translation represented by the given translation rule is given by

 4 unit to the left side and 1 unit to the down.