Question

describe the relationship between graphs of f and g. consider amplitude, period and shifts.
f(x)=cosx
g(x)=cos(x+π)

Answer 1

as far as period of cosx is concerned,its 2pi

Answer 2

how do i figure out the shift?

Answer 3

f(x)= cos x
amplitude = 1
period = 2π
horizontal shift = 0 (none)

g(x)= cos(x+π)
amplitude = 1
period = 2π
horizontal shift = -π

f(x) and g(x) have the same amplitude and the same period, but function g shifts the f(x) graph π units to the left.