Sinusoidal Function Transformations
AP Precalculus · Flashcards
AP PRECALCULUS · FLASHCARDS
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QUESTION
What is the minimum value of
y
=
A
cos
(
B
(
x
−
C
)
)
+
D
y = A \, \text{cos}(B(x - C)) + D
y
=
A
cos
(
B
(
x
−
C
))
+
D
?
QUESTION
Calculate the period of
y
=
sin
(
x
2
)
y = \text{sin}(\frac{x}{2})
y
=
sin
(
2
x
)
.
QUESTION
Find the phase shift of
y
=
4
cos
(
2
(
x
−
π
6
)
)
y = 4 \, \text{cos}(2(x - \frac{\text{π}}{6}))
y
=
4
cos
(
2
(
x
−
6
π
))
.
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ANSWER
Phase shift is
π
6
\frac{\text{π}}{6}
6
π
. Phase shift equals
C
=
π
6
C = \frac{\pi}{6}
C
=
6
π
(right shift).
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