1. The problem asks to translate a given triangle on the coordinate plane 4 units to the right and 1 unit down. 2. Translation means shifting every point of the figure by the same amount: right shifts increase the x-coordinate, down shifts decrease the y-coordinate. 3. If the original vertices are \(F(x_F, y_F)\), \(G(x_G, y_G)\), and \(H(x_H, y_H)\), the translated vertices will be: \[F'(x_F + 4, y_F - 1),\quad G'(x_G + 4, y_G - 1),\quad H'(x_H + 4, y_H - 1)\] 4. This operation preserves the shape and size of the triangle, only moves its position. 5. Use these new coordinates to redraw or analyze the translated triangle. 6. Summary: Translation vector is \((+4, -1)\), meaning add 4 to all x-coordinates and subtract 1 from all y-coordinates to move the triangle accordingly.