Answer:
We need to use the mapping
to find the new coordinates of X and Y.
Step-by-step explanation:
Vectorially speaking, we must look for the defintion of the translation operation such that vertex Y becomes vertex Y', which is represented by:
(1)
Where
is the translation vector.
If we know that
and
, then the translation vector is:
![T(x,y) = (0,-3)-(-4,2)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20%280%2C-3%29-%28-4%2C2%29)
![T(x,y) = (4, -5)](https://tex.z-dn.net/?f=T%28x%2Cy%29%20%3D%20%284%2C%20-5%29)
If
,
and
is the translated vector, then we obtain the following definition:
(2)
![U'(x,y) = (x,y) + (4,-5)](https://tex.z-dn.net/?f=U%27%28x%2Cy%29%20%3D%20%28x%2Cy%29%20%2B%20%284%2C-5%29)
![U'(x,y) = (x+4,y-5)](https://tex.z-dn.net/?f=U%27%28x%2Cy%29%20%3D%20%28x%2B4%2Cy-5%29)
The correct answer is B.