Begin by graphing the absolute value function, f(x)= |x|. Then use transformations of this graph to graph the given function.h(x)=|x-1|-2

Since the given functions are
[tex]\begin{gathered} f(x)=\lvert x\rvert \\ h(x)=\lvert x-1\rvert-2 \end{gathered}[/tex]Then f(x) is shifted horizontally 1 unit to the right and vertically 2 units down
Let us draw the graphs
The purple graph represents f(x)
The black graph represents h(x)
From the graph, we can see
Horizontal shift
Vertical shift
The answers are A and F