SOLUTION:
Case: Linear transformation
Method:
Step 1: First reflecting on the y-axis uses the formula:
(x, y)---->(-x, y).
Hence
A(2,2)------->A'(-2, 2)
B(1, -2)------->B'(-1, -2)
C(4, -4)-------->C'(-4, -4).
Step 2: Translating <1, 3> means:
(x, y)--------> (x+1, y+3)
Hence
A'(-2, 2)-------->A''(-1, 5)
B'(-1, -2)--------->B"(0, 1)
C'(-4, -4)--------->C"(-3, -1)
Final answer:
A''(-1, 5)
B"(0, 1)
C"(-3, -1)