2) what are the coordinates of the vertices of the triangle under the translation (x, y)(x+3, y+2)? draw the translated triangle.

Although you did not include the coordinates of the original triangle, I can explain you the procedure and so can can calculate the

1) Translation (x,y) → (x+3, y+2) means that:

* the x-coordinates of the original triangle will transform into x + 3 in the new triangle, and

* the y-coordinates of the original triangle will transform into y + 2.

2) So if the three vertices of the original triangle are (a,b), (c,d), (e,f), the new triangle will have vertices (a+3, b+2), (c+3, d+2), and (e+3, f+2).

That is it.

4)  Regarding the drawing of the new triangle, what the translation rule means is that you shift all the points 3 units to the right and 2 units upward.

Then move each vertex 3 units to the right and 2 units upward and join the new vertices to have the new triangle.

This is a very easy way to understand the translation rule and will permit you to do the graph quickly.