Answer:
The translation statement is given by:

After the translation, the coordinates of vertex A is (-2,6).
Step-by-step explanation:
Given :
Vertices of a triangle ABC are:
A(−3, 4), B(4, −2), C(8, 3)
The triangle is translated 2 units up and 1 unit right.
To find the co-ordinates of point A after translation.
Translation rules.
For shift of
units up, the translation is given as:

For shift of
units right, the translation is given as:

So, it says the triangles is translated 2 units up and 1 unit right.
The translation statement is given by:

So, co-ordinates of point A after translation is given by :

After the translation, the coordinates of vertex A is (-2,6).