Step-by-step explanation:
In the given figure:
The coordinates of triangle ABC are:
A = (-3 , 4)
B = (-3 , 0)
C = (-1 , 3)
and
the coordinates of triangle A'B'C' are:
A' = (-2, -3)
B' = ( 2, -3)
C' = (-1 , -1)
(a)
A sequence of transformation that maps triangle ABC to triangle A'B'C' is:
Here we do two transformation:
First we changed 90°counter-clockwise to the origin, then after that the horizontal transformation.
(b)
Find the ordered pair rule for each transformation in the sequence is:
The rule of transformation of 90°counter-clockwise to the origin is:

then;
The rule of transformation for horizontal transformation is:
