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Algebra 2
Write equations of sine functions using properties
The teacher is handing out note cards to her students. She gave
58
58
58
note cards to the first student,
41
41
41
note cards to the second student,
24
24
24
note cards to the third student, and
7
7
7
note cards to the fourth student. What kind of sequence is this?
\newline
Choices:
\newline
(A) arithmetic
\newline
(B) geometric
\newline
(C) both
\newline
(D) neither
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Find an equation for a sinusoidal function that has period
2
π
2\pi
2
π
, amplitude
1
1
1
, and contains the point
(
−
π
2
,
−
1
)
\left(-\frac{\pi}{2},-1\right)
(
−
2
π
,
−
1
)
. Write your answer in the form
f
(
x
)
=
A
sin
(
B
x
+
C
)
+
D
f(x) = A\sin(Bx + C) + D
f
(
x
)
=
A
sin
(
B
x
+
C
)
+
D
, where
A
A
A
,
B
B
B
,
C
C
C
, and
D
D
D
are real numbers. `f(x)` =______
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