200k views
1 vote
Find g(x), where g(x) is the translation 2 units right and 9 units down of f(x)=|x|.

Write your answer in the form a|x–h|+k, where a, h, and k are integers.

1 Answer

2 votes

Answer:

g(x) = |x - 2| - 9

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

User Tony Fraser
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories