Function $$g$$ can be thought of as a scaled version of $${f}({x})=|{x}|$$. ![](http://admin.getprephub.com/media/editor/pe7_20221125210104178189.png) What is the equation for $${g}({x})$$ ?

The equation of a scaled transformation of the graph of $${f}({x})=|{x}|$$ can have the form: $${g}({x})={a}|x|$$. If $$|a|>1$$, the graph is stretched vertically, and if $$|a|<1$$, the graph is compressed vertically. When $$a<0$$, the graph is then reflected across the $${X}$$-axis. Let us consider one point $${f}(-3)=3$$ and $${g}(-3)=1.5$$ So, $$\frac{g(-3)}{f(-3)}=0.5$$ Therefore the new graph is $$g(x)=0.5|x|$$

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Function $g$ can be thought of as a scaled version of ${f}({x})=|{x}|$ .

What is the equation for ${g}({x})$ ?

Select all that apply :

$\quad g(x)=0.5|x|$

$g(x)=-0.5|x|$

$g(x)=2|x|$

$g(x)=-2|x|$

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