Answer:
View attached graph.
Red is the original graph
Purple is the translation (rule a)
Black is the reflection (rule b)
Explanation:
10. Rectangle ABCD with vertices A(1,0), B(7,2), C(8,-1), D(2,-3)
Rules:
(a) Translation: (x,y) -> (x - 8, y - 3)
(b) Reflection: in the x-axis (x,y) -> (x, -y)
Rule A:
A' (1 - 8, 0 - 3) = (-7,-3)
B' (7 - 8, 2 - 3) = (-1,-1)
C' (8 - 8, -1 - 3) = (0,-4)
D' (2 - 8, -3 - 3) = (-6,-6)
Rule B:
A'' (-7,-3) -> (-7,3)
B'' (-1,-1) -> (-1,1)
C'' (0,-4) -> (0,4)
D'' (-6,-6) -> (-6,6)
Hope this helps!