Answer:
View attached graph.
Orange is the original graph
Green is the translation (rule a)
Purple is the reflection (rule b)
Explanation:
Triangle LMN with vertices L(-7,4), M(-3,0), N(-8,1)
Rules:
(a) Translation :(x,y) -> (x + 5, y - 6)
(b) Reflection: in the line y = -x -> (-y , -x)
Rule A:
L' (-7 + 5, 4 - 6) = (-2,-2)
M' (-3 + 5, 0 - 6) = (2,-6)
N' (-8 + 5, 1 - 6) = (-3,-5)
Rule B:
L'' (-2,-2) -> (2,2)
M'' (2,-6) -> (6,-2)
N''(-3,-5) -> (5,3)
Hope this helps!