Describe the parent function and then graph the functions in one coordinate plan to compare them.
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 horizontally shifted 2 units to the right, stretched by a factor of 2, and vertically shifted 8 units down. The domain of both functions is all real numbers. The range of parent function is y≥0, and f has a range of y≥-8.
