Answer:
The translation of the function f(x) to obtain the function g(x) is [tex]15[/tex] units down
Step-by-step explanation:
Let
[tex]f(x)=\left|x\right|[/tex]
The vertex of the function f(x) is the point [tex](0,0)[/tex]
Let
[tex]g(x)=\left|x\right|-15[/tex]
The vertex of the function g(x) is the point [tex](0,-15)[/tex]
The rule of the translation of f(x) to g(x) is equal to
[tex](x,y)------> (x,y-15)[/tex]
That means------> The translation is [tex]15[/tex] units down
see the attached figure to better understand the problem
