NEED ANSWERED ASAP Graph the following Trigonometric Function

Question

f(x)= -sin(x+ π/3) +2 on the interval [0, 2π]

State:
amplitude
period
phase shift
equation of axis
domain
range

 

What would be my mapping rule and points of my graph?

Answer 1

Please see the cosine problem for an explanation.

 

f(x)= -sin(x+ π/3) +2 on the interval [0, 2π]

 

amplitude:|-1| = 1

 

period: 2π/1 = 2π

 

phase shift: -π/3

 

equation of axis: y = 2

 

domain: [0, 2π]

 

range: [1, 3]