Answer:
The translation statement is given by:
![(x,y)\rightarrow (x+1,y+2)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2B1%2Cy%2B2%29)
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:
![(x,y)\rightarrow (x,y+c)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2Cy%2Bc%29)
For shift of
units right, the translation is given as:
![(x,y)\rightarrow (x+k,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2Bk%2Cy%29)
So, it says the triangles is translated 2 units up and 1 unit right.
The translation statement is given by:
![(x,y)\rightarrow (x+1,y+2)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28x%2B1%2Cy%2B2%29)
So, co-ordinates of point A after translation is given by :
![(-3,4)\rightarrow (-3+1,4+2)=(-2,6)](https://tex.z-dn.net/?f=%28-3%2C4%29%5Crightarrow%20%28-3%2B1%2C4%2B2%29%3D%28-2%2C6%29)
After the translation, the coordinates of vertex A is (-2,6).