What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?vertical translation of 3 units downvertical translation of 3 units uphorizontal translation of 3 units righthorizontal translation of 3 units left

Answer:vertical translation of 3 units downStep-by-step explanation:we have[tex]f\left(x\right)=\left|x\right|[/tex] ----> the parent functionThe vertex of f(x) is the point (0,0)[tex]g\left(x\right)=-3+\left|x\right|[/tex] ----> the transformed functionThe vertex  of g(x) is the point (0,-3)soThe rule of the translation isf(x) -----> g(x)(0,0) ----> (0,-3)(x,y) ----> (x,y-3)That means ---> The translation is 3 units downsee the attached figure to better understand the problem