Question

ue functions and translations
on each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. which graph represents the translation g(x) = |x| - 4 as a solid line?
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Explanation:

Step1: Identify parent function graph

The parent function $f(x)=|x|$ is a V-shape with vertex at $(0,0)$, represented by the dashed line.

Step2: Identify translation graph

The translation $g(x)=|x|-4$ shifts $f(x)$ down 4 units, so its vertex is at $(0,-4)$, represented by the solid line.

Step3: Match with options

Find the graph where dashed V has vertex $(0,0)$ and solid V has vertex $(0,-4)$.

Answer:

The graph with dashed V at (0,0) and solid V at (0,-4) (specific position depends on clear option visibility; typically the one with solid line vertex below origin)