Question

Let y=3cosx −3.
what is period and phase shift

Answer 1

is this
\[3\cos(x)-3\] which has period
\[2\pi\] and on phase shift, or
\[3\cos(x-3)\] which also has period
\[2\pi\] and shifted 3 unit right

Answer 2

Let y=−3sin[5(x−π/6)]+5.
can you help me with this one also. I need the period and range

Answer 3

Let y=sin[x+π/3].

i would greatly appreciate it if you can help me find the range for this

Answer 4

range of sine is [-1,1]

Answer 5

so range of
\[-3\sin(x)\] would be [-3,3]