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

This preview shows pages 1–4. Sign up to view the full content.

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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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
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 )?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## This note was uploaded on 09/28/2011 for the course MAC 1105 taught by Professor Everage during the Spring '08 term at FSU.

### Page1 / 10

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

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online