We have to draw the image of the quadrilateral ABCD after the translation: 4 units up and 1 unit to the right.
This transformation can be written as:
[tex](x,y)\longrightarrow(x+1,y+4)[/tex]
Then, for each of the four points we can write:
[tex]\begin{gathered} A=(-2,-5)\longrightarrow A^{\prime}=(-2+1,-5+4)=(-1,-1) \\ B=(-4,3)\longrightarrow B^{\prime}=(-4+1,3+4)=(-3,7) \\ C=(6,2)\longrightarrow C^{\prime}=(6+1,2+4)=(7,6) \\ D=(6,-2)\longrightarrow D^{\prime}=(6+1,-2+4)=(7,2) \end{gathered}[/tex]
We can then draw it like:
