09 shifting curves I

# 09 shifting curves I - y x 2 2 1. : 9 basic curve x y + =...

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Shifting Curves I ( 29 y f x c = + ( 29 ( 29 { } or y c f x - = ( 29 moves or units f x c + - ( 29 y f x c = + ( 29 moves or units f x c + - ( 29 y f x = - ( 29 reflects in the axis (i.e. flips upside down) f x x ( 29 y f x = - ( 29 reflects in the axis f x y

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y x 2 1. : basic curve y x = ( 29 ( 29 2 e.g. 3 4 i y x = - + 2. shift right 3 units 3 3. shift up 4 units 4
y x 2 1. : basic curve y x = ( 29 ( 29 2 e.g. 3 4 i y x = - + 2. shift right 3 units 3. shift up 4 units (3,4) ( 29 ( 29 3 1 2 ii y x = - + + y x 3 1. : basic curve y x = 2. reflect in x axis 3. shift left 1 unit 1 4. shift up 2 units 2

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y x 2 1. : basic curve y x = ( 29 ( 29 2 e.g. 3 4 i y x = - + 2. shift right 3 units 3. shift up 4 units (3,4) ( 29 ( 29 3 1 2 ii y x = - + + y x 3 1. : basic curve y x = 2. reflect in x axis 3. shift left 1 unit 4. shift up 2 units (–1,2)
( 29 2 2 2 4 4 0 iii x x y y + + - - = ( 29 ( 29 2 2 1 2 4 1 4 9 x y + + - = + + =

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Unformatted text preview: y x 2 2 1. : 9 basic curve x y + = 2. shift left 1 unit 1 3. shift up 2 units 2 ( 29 2 2 2 4 4 iii x x y y + +-- = ( 29 ( 29 2 2 1 2 4 1 4 9 x y + +-= + + = y x 2 2 1. : 9 basic curve x y + = 2. shift left 1 unit (1,2) 3. shift up 2 units ( 29 2 x iii y-= y x 1. : 2 x basic curve y = 1 ( 29 2 2 2 4 4 iii x x y y + +-- = ( 29 ( 29 2 2 1 2 4 1 4 9 x y + +-= + + = y x 2 2 1. : 9 basic curve x y + = 2. shift left 1 unit (1,2) 3. shift up 2 units ( 29 2 x iii y-= y x 1. : 2 x basic curve y = 2. reflect in y axis 1 Exercise 2I; 1bdefg, 3abdf, 4, 5ace, 6bdf, 7ac, 9, 10acgnpr, 12...
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## This note was uploaded on 11/09/2011 for the course ECON 131 taught by Professor Dfsfddsf during the Spring '11 term at Université Paris 12 - Val-de-Marne.

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09 shifting curves I - y x 2 2 1. : 9 basic curve x y + =...

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