Function family: Absolute Value. Comparison: See solution.
Practice makes perfect
Let's take a look at the given graph.
The given function is an absolute value, 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-value is being reflected in the x-axis, horizontally shifted 1 unit to the right, and vertically shifted 2 units up.