Answer:
The translation of the function f(x) to obtain the function g(x) is \(15\) units down
Step-by-step 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
