Function $$g$$ can be thought of as a translated (shifted) version of $$f(x)=|x|$$. What is the equation for $${g}({x})$$ ? ![](http://admin.getprephub.com/media/editor/pe2_20221125205405553896.png)

The equation that results from translating the graph of the absolute value function $$y=|x|$$ to the right by $$h$$ units and up by $$k$$ units is $$y=|x-{h}|+{k}$$. Here, the graphs has been shifted to $$3$$ units horizonatally to the right and $$0$$ units vertically. So, the new graph is $$f(x)=|x-3|$$

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MCQ

Function $g$ can be thought of as a translated (shifted) version of $f(x)=|x|$ . What is the equation for ${g}({x})$ ?

Select all that apply :

$f(x)=|x-3|$

$f(x)=|x+3|$

$f(x)=|x|+3$

$f(x)=|x|-3$

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