Modeling Periodic Phenomena with Trigonometric Functions
Precalculus · Flashcards · Application
PRECALCULUS · FLASHCARDS
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QUESTION
Write a cosine model with amplitude
2
2
2
, period
6
6
6
, midline
4
4
4
, and a maximum at
x
=
1
x=1
x
=
1
.
QUESTION
Identify a model for max
10
10
10
, min
2
2
2
, and period
12
12
12
using cosine with no phase shift.
QUESTION
Choose the correct phase shift
C
C
C
for
y
=
4
sin
(
π
2
(
x
−
3
)
)
+
1
y=4\sin\left(\frac{\pi}{2}(x-3)\right)+1
y
=
4
sin
(
2
π
(
x
−
3
)
)
+
1
.
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ANSWER
C
=
3
C=3
C
=
3
. Phase shift is the value subtracted from
x
x
x
in the argument.
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