Obj9thru17F11

Obj9thru17F11 - Obj 14c Graphing with Vertical and Horizontal Translations How do these compare y = f(x y = f(x c c > 0 y = f(x c c > 0 We will

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Obj 14c Graphing with Vertical and Horizontal Translations How do these compare? y = f ( x ) y = f ( x )+ c, c > 0 y = f ( x ) - c, c > 0 We will consider a specifc example to justiFy the general case. y = xy = x +3 y = x - 3 x y x y x y How do these compare? y = f ( x ) y = f ( x + c ) ,c> 0 y = f ( x - c ) 0 We will consider a specifc example to justiFy the general case. y = = x y = x - 3 x y x y x y Obj 14c example Select the equation oF the Function whose graph is the graph oF y = x 5 but is shiFted leFt 3 units. y = x 5 - 3 y =( x +3) 5 y x - 3) 5 y = x 5 19
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Obj 14b Graphing with Vertical or Horizontal Compression or Stretching How do these compare? y = f ( x ) y = cf ( x ) ,c> 1 y = cf ( x ) , 0 <c< 1 We will consider a specifc example to justiFy the general case. y = 4 - x 2 y =2 4 - x 2 y = 1 2 4 - x 2 x y x y x y How do these compare? y = f ( x ) y = f ( cx ) 1 y = f ( cx ) , 0 1 We will consider a specifc example to justiFy the general case. y = 4 - x 2 y = ± 4 - (2 x ) 2 y = ± 4 - ( 1 2 x ) 2 x y x y x y 20
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For y = f ( x ) as defned below, graph y =3 f ( x )and y = f ( 1 3 x ). y x 1 x y x y another Obj 14b example I± (2 , 4) is a point on the graph o± y = f ( x ), then which o± the ±ollowing must be on the graph o± y = f (2 x )? (4 , 4) (4 , 8) (1 , 2) (1 , 4) (2 , 4) (2 , 8) another Obj 14b example I± a ±unction f has Domain [0 , 8], then what must be the Domain o± y =4 f ( x )? [0 , 32] [0 , 2] [0 , 8] another Obj 14b example I± a ±unction f has Range [0 , 8], then what must be the Range o± y f ( x )?
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This note was uploaded on 09/28/2011 for the course MAC 1105 taught by Professor Everage during the Spring '08 term at FSU.

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Obj9thru17F11 - Obj 14c Graphing with Vertical and Horizontal Translations How do these compare y = f(x y = f(x c c > 0 y = f(x c c > 0 We will

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