Provide an equation of one of the common functions with multiple transformations. For example, f(x) = (x - 2)2 + 3. DO NOT USE EXAMPLE GIVEN  Give the basic function and it's properties, as well as, the transformations utilizing transformation vocabulary (horizontal shift, vertical shift, reflection, etc.) Additionally, provide a picture of the graph of the example from desmos (Links to an external site.).  Note: You are not to copy and paste from a website nor use the example given.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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 Provide an equation of one of the common functions with multiple transformations. For example, f(x) = (x - 2)2 + 3. DO NOT USE EXAMPLE GIVEN  Give the basic function and it's properties, as well as, the transformations utilizing transformation vocabulary (horizontal shift, vertical shift, reflection, etc.) Additionally, provide a picture of the graph of the example from desmos (Links to an external site.). 

Note: You are not to copy and paste from a website nor use the example given. 

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