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Describe the parent function and then graph the functions in one coordinate plan to compare them.
Function family: Absolute Value.
Comparison: See solution.
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-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≥0 and g has a range of y≥-2.