Answer: [tex]A'(-1, 0)[/tex]
Step-by-step explanation:
By definition, a Translation is a transformation that moves an object a fixed distance. In Transalation the size, shape and orientation of the object don't change.
The translation of a point [tex]P(x,y)[/tex] "a" units right and "b" units up is:
[tex]P'(x+a,y+b)[/tex]
In this case we know that the coordinates of A of the Triangle ABC is A(-2, -3) and the Triangle ABC is translated 1 unit right and 3 units up. Therefore, the the coordinates of A' are:
[tex]A'(-2+1, -3+3)[/tex]
[tex]A'(-1, 0)[/tex]