1. Parent Functions and Transformations
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Describe the parent function and then graph the functions in one coordinate plan to compare them.
Function family: Constant.
Comparison: See solution.
Let's take a look at the given graph.
The given function is constant, so its parent function is y=1. Let's draw this function to compare it to the given one.
As we can see from the graph each y-value is being vertically shifted 2 units up. The domain of both functions is all real numbers. The range of the parent function is {1}, and f has a range of {3}.