According to the given rule of transformation, any point (x,y) is transformed as follows:
[tex](x,y)\rightarrow(x+2,y+4).[/tex]Now, the coordinates of the vertices of the triangle are:
[tex]V(-1,-1),J(-4,-5),E(-4,-3).[/tex]Therefore:
[tex]\begin{gathered} V^{\prime}(-1+2,-1+4), \\ J^{\prime}(-4+2,-5+4), \\ E^{\prime}(-4+2,-3+4). \end{gathered}[/tex]Simplifying the above result, you get:
[tex]J^{\prime}(-2,-1),E^{\prime}\left(−2,1\right),V^{\prime}\left(1,3\right).[/tex]