## Chapter 1.4

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##### Created by:

Morgan_Giles  on August 27, 2011

##### Description:

Graph Translations

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# Chapter 1.4

 Left Horizontal Shifty = f ( x + c)
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#### Definitions

Left Horizontal Shift y = f ( x + c)
Right Horizontal Shift y = f ( x - c )
Up Vertical Shift y = f ( x ) + c
Down Vertical Shift y = f ( x ) - c
Vertical Stretch y = c f ( x ) c > 1 Multiply Y
Vertical Shrink y = c f ( x ) 0 < c< 1 Multiply Y
Horizontal Shrink y = f ( c x ) c > 1 Divide X
Horizontal Stretch y = f ( c x ) 0 > c > 1 Divide X
Reflection over the X-axis y = - f ( x )
Reflection over the Y-axis y = f ( - x )
Order of Translations H - Horizontal
S - Stretch or Shrink
R - Reflection
V - Vertical

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