Answer:
A )rotate 90 degrees counterclockwise,then shift 2 units up.
Step-by-step explanation:
Given : graph .
To find : what transformation were applied to ABC to obtain A’B’C.
Solution : We have given graph
Parent ABC triangle with coordinates A(2 ,2) ; B (5 ,6) ; C ( 8 , 2).
Transformed triangle with coordinates A' (-2 ,4) ; B' (-6 ,7) ; C' ( -2 ,15).
By the rotational of 90° counter clockwise : (x ,y) →→ ( -y , x ).
And it is shifted by 2 unit up
(x ,y) →→ ( -y , x + 2 ).
A(2 ,2) →→ A' (-2 ,4)
B (5 ,6) →→ B' (-6 ,7)
C ( 8 , 2) →→ C' ( -2 ,15).
Therefore, A )rotate 90 degrees counterclockwise,then shift 2 units up.
