Question

Describe how the graphs of y=|x| and y=|x| -15 are related.

Answer 1

The graph of the second function is moved 15 units down along the y-axis in relation to the graph of the first function.

Answer 2

The translation of the function f(x) to obtain the function g(x) is
`15` units down

Explanation:

Let

`f(x)=\left|x\right|`

The vertex of the function f(x) is the point
`(0,0)`

Let

`g(x)=\left|x\right|-15`

The vertex of the function g(x) is the point
`(0,-15)`

The rule of the translation of f(x) to g(x) is equal to

`(x,y)------> (x,y-15)`

That means------> The translation is
`15` units down

see the attached figure to better understand the problem