Big Ideas Math Algebra 2, 2014
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Big Ideas Math Algebra 2, 2014 View details
3. Logarithms and Logarithmic Functions
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Exercise 78 Page 316

Describe the parent function and then graph the functions in one coordinate plane 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 reflected in the x-axis, horizontally shifted 1 unit to the right, and vertically shifted 2 units up.