Exercise 3 Page 20

Let's take a look at the given graph.

The given function is and absolute value function, so its parent function is $y=|x|.$ Let's draw this function to compare it to the given one.

As we can see from the graph, each $y\text{-}$value is being horizontall shifted $1$ unit to the left and vertical shifted $2$ units down. The domain of both functions is all real numbers. The range of the parent function is $y\ge 0$ and $g$ has a range of $y\ge \text{-}2.$