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Transformation of Graphs Lesson 3.4
Tools for Exploration ,[object Object],[object Object],[object Object],[object Object]
Shifting the Graph  ,[object Object],[object Object],[object Object],[object Object],[object Object],Use different styles for each of the functions
Shifting the Graph  ,[object Object],[object Object],[object Object],[object Object],[object Object]
Which Way Will You Shift?   Matching -- match the letter of the list on the right with the function on the left. ,[object Object],[object Object],[object Object],[object Object],[object Object],A) shift down a units   B) shift right a units   C) shift left a units   D) shift up a units   E) turn upside down   F) none of these
Which Way Will It Shift?  ,[object Object],[object Object],[object Object]
Numerical Results ,[object Object],[object Object],x -3 -2 -1 0 1 2 3 f(x) 7 4 9 3 12 5 6 (x) + 3               f(x + 1)                f(x - 2)                      
Sound Waves  ,[object Object],[object Object],[object Object],[object Object],[object Object],The rise and fall of the graph model the vibration of the object creating or transmitting the sound. What should be altered on the graph to show  increased  intensity or loudness?
Sound Waves ,[object Object],[object Object],[object Object],[object Object],Predict what you think will happen before you actually graph the functions Function Style ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Sound Waves ,[object Object],[object Object],[object Object]
Compression ,[object Object],[object Object],[object Object]
Compression ,[object Object],[object Object],[object Object]
Compression ,[object Object],[object Object],[object Object]
Flipping the Graph of a Function ,[object Object],[object Object],Across the x-axis Across the y-axis
Flipping the Graph of a Function ,[object Object],[object Object],[object Object]
Flipping the Graph of a Function ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Flipping the Graph of a Function ,[object Object],[object Object],[object Object],use -f(x) use f(-x)
Assignment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Lesson 3.4