章绘图技术变换chapter 15 graphing techniques15.pdfVIP

Chapter15:GraphingTechniques

GraphingTechniques:Transformations

1[YJC/2010/BT2/2]

Thegraphofy=fhastwoturningpointsat(1,3)and(3,2)and

()x−

intersectsthex-axisatx=0,x=2andx=5asshowninthediagram

below.Thelinex=–0.5isaverticalasymptote.

.

(1,3)

025

(3,–2)

Sketch,onseparateclearlylabelleddiagrams,thegraphsof

(a)y=()[2]

f1,−x

y(b)x=−f,()[2]

(c)()[2]

yfx=.

2[VJC/2010/BT2/1]

y

y=f(x+6)