Big Ideas Math Algebra 1, 2015
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Big Ideas Math Algebra 1, 2015 View details
7. Graphing Absolute Value Functions
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Exercise 38 Page 161

Be sure to think about the horizontal transformations before any vertical transformations. Work from the inside to the outside. Then make a table of values to find points on the graph.

Tranformations:
A horizontal shrink by a factor of
A horizontal translation units to the right.
A vertical translation units down.
Graph:

Practice makes perfect

First we will go through all the transformations from the graph of to the graph of given function. After that we will make a table of values to graph this function.

Transformations

The given equation is a transformation of the parent function We can define each transformation from the inside to the outside. We will start with the transformation closest to and end with the farthest from Let's review our function.
To see how each of the transformations affects the parent function, it would be helpful to rewrite it first. This way we can look at each of the transformations individually and work our way from the inside to the outside.