The vertices T<4, 1> (DEF) are D' = (5, 4), E' = (6, -3) and F' = (1, 2)
How to determine the vertices?
The vertices of the triangle are given as:
D(1, 3), E(2, -4), and F(-3, 1).
The transformation represented by T<4, 1> (DEF) is:
(x,y) = (x + 4, y + 1)
So, we have;
D' = (1 + 4, 3 + 1)
D' = (5, 4)
E' = (2 + 4, -4 + 1)
E' = (6, -3)
F' = (-3 + 4, 1 + 1)
F' = (1, 2)
Hence, the vertices T<4, 1> (DEF) are D' = (5, 4), E' = (6, -3) and F' = (1, 2)
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