The triangle is to be translated using the rule (x -5, y + 4).
The translation x-5 implies that the triangle is to be shifted 3 units left.
The translation y+4 implies that the triangle is to be shifted 4 units up.
The initial coordinates of verex A is (x,y)=(1,-3)
Applying the translation,
[tex]\begin{gathered} (x,y)\longrightarrow(x-5,y+4) \\ (1,-3)\longrightarrow(1-5,\text{ -3+4)} \\ (1,-3)\longrightarrow(-4,1) \end{gathered}[/tex]
The new coordinates of vertex A after translation is (-4,1).
The initial coordinates of verex B is (3,0).
Applying the translation,
[tex]\begin{gathered} (x,y)\longrightarrow(x-5,y+4) \\ (3,0)\longrightarrow(3-5,0+4\text{)} \\ (3,0)\longrightarrow(-2,4) \\ \text{The new coordinates of vertex B is (-2,4).} \\ \text{Translating vertex C with coordinates (4,-2) gives} \\ (4,-2)\longrightarrow(4-5,-2+4) \\ (4,-2)\longrightarrow(-1,2) \\ \text{The new coordinates of vertex C is (-1,2)} \\ Now,\text{ the coordinates of the translated triangle is A(}-4,1),\text{ B(-2,4) and C(-1,2). } \\ U\sin g\text{ the new coordinates, the translated triangle can be drawn.} \end{gathered}[/tex]
