Question

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

Answer 1

Since the given functions are

`\begin{gathered} f(x)=\lvert x\rvert \\ h(x)=\lvert x-1\rvert-2 \end{gathered}`

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