Question

XY is a translation of XY.

Write the translations as a rule applied to each coordinate (x,y).
PLEAS WITH THIS QUESTION HELP ASAP

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)`.