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

XY Is A Translation Of XY Write The Translations As A Rule Applied To Each Coordinate Xy PLEAS WITH THIS QUESTION HELP ASAP class=

Sagot :

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

[tex](x,y)\to (x+a,y+b)[/tex]            ...(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

[tex]X(-4,-9)\to X'(-4+a,-9+b)[/tex]

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

[tex]X'(-4+a,-9+b)=X'(-1,0)[/tex]

On comparing both sides, we get

[tex]-4+a=-1[/tex]

[tex]a=-1+4[/tex]

[tex]a=3[/tex]

And,

[tex]-9+b=0[/tex]

[tex]b=9[/tex]

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

Therefore, the rule of translation is [tex](x,y)\to (x+3,y+9)[/tex].

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