Precalculus 02/01/10

cos(x) and its transformations

y=cos(x)

Domain= (-∞,∞)

Range= [-1,1]

Period= 2π

y= cos(x)+2

Domain = (-∞,∞)

Range= [1,3]

Period= 2π

y=cos(x+2)

Domain= (-∞,∞)

Range= [-1,1]

Period= 2π

y=2cos(x)


y= 2cos(x)

Domain= (-∞,∞)

Range= [-2,2]

Period= 2π

y=2cos(x)

y= cos(2x)

Domain= (-∞,∞)

Range= [-1,1]

Period= π

Helpful Hints:

Transformations are the same as the sin(x) transformations

y=cos(x - π / 2) is the same as y= sin(x)