NEED ANSWERED ASAP Graph the following Trigonometric Function

Question

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

 

State:
amplitude
period

phase shift

equation of axis

domain

range

 

What would be my mapping rule and points on the graph?

Answer 1

f(x) = a sin (bx - h) + k

 

a is the amplitude

2π/b is the period

h is the shift along the x-axis (phase shift)

k is the shift along the y-axis

 

amplitude = 2

period = 2π/2 = π

phase shift = π

equation of axis (y-intercept) y = -3

domain is [0, π] (it's the interval given)

range is [-5, -1] (two units above an below the axis)