Answer :
Use the form
a
cos
(
b
x
−
c
)
+
d
acos(bx-c)+d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
4
a=4
b
=
3
b=3
c
=
π
4
c=π4
d
=
0
d=0
Find the amplitude
|
a
|
|a|
.
Amplitude:
4
4
Find the period using the formula
2
π
|
b
|
2π|b|
.
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Period:
2
π
3
2π3
Find the phase shift using the formula
c
b
cb
.
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Phase Shift:
π
12
π12
Find the vertical shift
d
d
.
Vertical Shift:
0
0
List the properties of the trigonometric function.
Amplitude:
4
4
Period:
2
π
3
2π3
Phase Shift:
π
12
π12
(
π
12
π12
to the right)
Vertical Shift:
0
0
i think ;-;
Answer:
[tex]\frac{\pi }{4}[/tex]
Step-by-step explanation:
The standard form of the cosine function is
y = a cos(bx + c)
where a is the amplitude, period = [tex]\frac{2\pi }{b}[/tex] and
phase shift = - [tex]\frac{c}{b}[/tex]
here b = 3 and c = - [tex]\frac{3\pi }{4}[/tex], hence
phase shift = - [tex]\frac{-\frac{3\pi }{4} }{3}[/tex] = [tex]\frac{\pi }{4}[/tex]