Reflecting DEF on the y-axis gives the following coordinates of D'E'F' as follows
the coordinate of D' (-2, 2)
the coordinate of E' (2, -1)
the coordinate of F' (3, 5)
Translating D'E'F' by the vector (3, -5) gives the following coordinate of D''E''F'' as follows
the coordinate of D'' (-2+3, 2-5) = (1, -3)
the coordinate of E'' (2+3, -1-5) = (5, -6)
the coordinate of F'' (3+3, 5-5) = (6, 0)
The diagram below shows the transformation of triangle DEF
the coordinate of D' (-2, 2)
the coordinate of E' (2, -1)
the coordinate of F' (3, 5)
Translating D'E'F' by the vector (3, -5) gives the following coordinate of D''E''F'' as follows
the coordinate of D'' (-2+3, 2-5) = (1, -3)
the coordinate of E'' (2+3, -1-5) = (5, -6)
the coordinate of F'' (3+3, 5-5) = (6, 0)
The diagram below shows the transformation of triangle DEF