Modeling Periodic Phenomena with Trigonometric Functions
Precalculus · Flashcards · Recall
PRECALCULUS · FLASHCARDS
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QUESTION
What is the horizontal phase shift of
y
=
A
cos
(
B
(
x
−
C
)
)
+
D
y=A\cos(B(x-C))+D
y
=
A
cos
(
B
(
x
−
C
))
+
D
?
QUESTION
What is the vertical shift of
y
=
A
sin
(
B
x
)
+
D
y=A\sin(Bx)+D
y
=
A
sin
(
B
x
)
+
D
?
QUESTION
Which function starts at a maximum when
A
>
0
A>0
A
>
0
and
C
=
0
C=0
C
=
0
: sine or cosine?
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ANSWER
cosine.
cos
(
0
)
=
1
\cos(0) = 1
cos
(
0
)
=
1
, so cosine starts at its maximum when
A
>
0
A > 0
A
>
0
.
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