Question

The functions f(x) and g(x) are shown on the graph.(x) = 1x1What is g(x)?

Answer 1

Given a function;

`f(x)=|x|_{}`

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;

`\begin{gathered} f(x)\rightarrow f(x+b) \\ \end{gathered}`

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

The function g(x) is;

`g(x)=|x+5|`

CORRECT OPTION: D