Question

Select the correct answer. If f(x) = |x| - 4, which translation is applied fo f(x) to get g(x)?

Answer 1

It is a vertical translation of f(x) four units downward.

Explanation:

We are given the original equation f(x) = |x| and the transformed function is g(x) = |x| - 4.

It is clear that the transformed function that g(x) = f(x) - 4.

So, the y-value in g(x) is reduced by 4 units from the y-value of f(x) i.e. the transformation is by 4 units down of function f(x).

Therefore, it is a vertical translation of f(x) four units downward. (Answer)