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UC11A-1.3

# UC11A-1.3 - Math 11A Calculus w Applications I Text...

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Math 11A - Calculus w/ Applications I Text: Neuhauser, , 2nd edition Calculus for Biology and Medicine 1.3 Graphing 1.3.1 Graphing and Basic Transformation of functions Given the graph of C œ 0 B À a b Vertical Translation : the graph of results in a vertical shift C œ 0 B  + a b up units if ; down units if + +  ! l+l +  ! example: graph Horizontal Translation : graph of results in a horizontal shift C œ 0 B  - a b to the right units if ; to the left units if - -  ! l-l -  ! example: graph Vertical Stretch ( ) Compression ( ) À À if if l5l  " l5l  " the graph of Î C œ 5 † 0 B a b results in a vertical stretch or compression. example: graph Horizontal Stretch ( ) Compression ( ) À À if if l5l  " l5l  " the graph of Î C œ 0 5 † B a b results in a horizontal stretch or compression. example: graph Reflections about the -axis if À B C œ  0 B

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