Through moving up c units, the graphs of g can be determined from the graph of f. If we subtract c from f(x), the graph shifts downward. Let [tex]\bold{ h(x) = f(x) - c}[/tex]. Shifting downward c units yields this graph of h from the graph of f.
Given:
[tex]\bold{f(x)=4|x|}[/tex]
Calculation:
- It is stated that its graph of [tex]g(x)[/tex] is obtained by reflecting a graph of [tex]f(x)=4|x|[/tex] over the x-axis.
- When a figure is reflected across the x-axis, the rule for reflection is [tex]\bold{(x,y) \to (x,-y)}[/tex].
- To use the preceding logic, if the given function is reflected from across the x-axis, then [tex]g(x)=-f (x)[/tex].
[tex]\bold{g(x)=-(4|x|)}\\\\\bold{g(x)=-4|x|}\\\\[/tex]
So, the equation [tex]g(x)=-4|x|[/tex] describes [tex]g(x)[/tex].
Therefore, the final choice is "Option C".
Learn more:
brainly.com/question/6280870
