Question

Below are the functions of y = |x| and y = |x| – 9. How are the functions related?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The function y = |x| represents the absolute value of x, which means that it will always result in a non-negative value. The function y = |x| – 9 is similar to the first function, but with a vertical translation of 9 units downwards. This means that the second function will always be 9 units lower than the first function.

In summary, the functions y = |x| and y = |x| – 9 are related by a vertical translation of 9 units downwards.