SOLUTION
Now, the coordinates of the original triangle is
[tex]\begin{gathered} A(-4,4) \\ B(0,0) \\ C(-5,-2) \end{gathered}[/tex]
Translating 4 units to the right and 3 units down means we would add 4 to the x-coordinates and -3 to the y-coordinates, we have
[tex]\begin{gathered} A(-4,4)\rightarrow(-4+4,4-3)\rightarrow(0,1) \\ B(0,0)\rightarrow(0+4,0-3)\rightarrow(4,-3) \\ C(-5,-2)\rightarrow(-5+4,-2-3)\rightarrow(-1,-5) \end{gathered}[/tex]
Hence the coordinates of the image becomes
[tex]\begin{gathered} A^{\prime}(0,1) \\ B^{\prime}(4,-3) \\ C^{\prime}(-1,-5) \end{gathered}[/tex]
hence the answer is option D
