221k views
3 votes
Translate ƒ(x) = |x| so that it's translated down by 2 units and to the left 6 units. What's the new function g(x)?

A) g(x) = |x – 6| + 2
B) g(x) = |x – 6| – 2
C) g(x) = |x + 6| + 2
D) g(x) = |x + 6| – 2

2 Answers

3 votes
D) g(x) = |x + 6| - 2
User Gurleen Sethi
by
8.0k points
7 votes

Answer:

D) g(x) = |x +6| -2

Explanation:

To translate f(x) h units to the right and k units up, you use the transformation ...

g(x) = f(x -h) +k

You want to translate your function 6 units left and 2 units down, so (h, k) = (-6, -2) and the transformed function is ...

g(x) = |x +6| -2

User Kasey Kirkham
by
7.5k 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