Question

Below are the functions of y = |x| and y = |x| - 5. How are the functions related?

Answer 1

The functions y = |x| and y = |x| - 5 are related because they both involve the absolute value of x. However, the second function y = |x| - 5 is obtained by subtracting 5 from the absolute value of x. Therefore, the second function is a vertical shift downwards of the first function by 5 units.