Answer:
g(x) = |x - 2| - 9
Step-by-step explanation:
Translations of a function f(x):
Translation of f(x) by a units to the right is given by f(x - a).
Translation of f(x) by a units to the left is given by f(x + a).
Translation of f(x) by a units down is f(x) - a
Translation of f(x) by a units up is f(x) + a
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.
2 units right: f(x - 2) = |x - 2|
9 units down: f(x - 2) - 9 = |x - 2| - 9
The answer is: g(x) = |x - 2| - 9
