Respuesta :

Given a function;

[tex]f(x)=|x|_{}[/tex]

This is graphed as;

There exist another function g(x), such that f(x) is translated by 5units shift to the left.

To shift a function left, add inside the function's argument;

[tex]\begin{gathered} f(x)\rightarrow f(x+b) \\ \end{gathered}[/tex]

That is, f(x) is shifted b units to the left.

The function g(x) is;

[tex]g(x)=|x+5|[/tex]

CORRECT OPTION: D

Ver imagen AnnaroseZ339431
Ver imagen AnnaroseZ339431