3. TranslationsTranslations
Horizontal shift = phase shiftHorizontal shift = phase shift
y = a sin (bx +c) + dy = a sin (bx +c) + d
y = a cos (bx +c) + dy = a cos (bx +c) + d
– If c>0 shift LeftIf c>0 shift Left
– If c<0 shift RightIf c<0 shift Right
b
c−
4. State the phase shift and graphState the phase shift and graph
)sin( π+Θ=y
5. State the phase shift and graphState the phase shift and graph
)
2
2cos(
π
−Θ=y