The function f(x) = |x| is graphed over the interval [−6, 3]. Which translation of the graph has the domain [−3, 6]?

Question

The function f(x) = |x| is graphed over the interval [−6, 3].

Which translation of the graph has the domain [−3, 6]?



Answer 1

Hi Elias!

Draw it out. The graph has been translated 3 units to the right. Let's call the translated function g(x).

g(x) = f(x - 3)

g(x) = |x - 3|

Hope that helps! Contact me if you would like to start tutoring. I am available.