Question

XY is a translation of XY.

Answer 1

Given:

The graph of a translation. X'Y' is a translation of XY.

To find:

The rule of the translation.

Solution:

Let the rule of the translation be

$(x,y)\to (x+a,y+b)$            ...(i)

So, we need to find the value of a and b.

From the given graph, it is clear that X(-4,-9) and X'(-1,0).

Using (i), the image of X(-4,-9) is

$X(-4,-9)\to X'(-4+a,-9+b)$

We have, X'(-1,0). So,

$X'(-4+a,-9+b)=X'(-1,0)$

On comparing both sides, we get

$-4+a=-1$

$a=-1+4$

$a=3$

And,

$-9+b=0$

$b=9$

So, the missing values in the rule of the translation are 3 and 9 respectively.

Therefore, the rule of translation is $(x,y)\to (x+3,y+9)$.