What are the amplitude, period, phase shift, and midline of f(x) = −4 cos(3x − π) + 1?
2 answers:
The general function for the cos function is:
<span>y=Acos<span>(B<span>(x+C)</span>)</span></span>
where A
is the amplitude, <span><span>2π</span>B</span>
is the period
and phase shift is C
.
For our function: f(x) = −4 cos(3x − π) + 1 =-4cos(3(x-π/3))+1
the amplitude is:-4
the phase shift is: -π/3
Answer:
Amplitude: 4; period: 2 pi over 3; phase shift: x = pi over 3; midline: y = 1
Step-by-step explanation:
Use the form a cos (bx-c)+d to find the amplitude, period, phase shift, and vertical shift.
a=-4
b=3
c=pi
d=1
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