translate the figure right 5 and up 4.indentify the coordinates of the vertices of the translated figure?

The transformation is:
[tex](x,y)\to(x+5,y+4)[/tex]So, for example the point A transform to A':
[tex]\begin{gathered} A=(3,1) \\ A^{\prime}=(3+5,1+4)=(8,5) \end{gathered}[/tex]The transformation above correspond to sum 5 units to x-value and 4 units to y-value.