Quiz
Sign In
Describe the parent function and then graph the functions in one coordinate plan to compare them.
Function family: Absolute Value.
Comparison: See solution.
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.