Write a polynomial function, in standard form that has given zeros, 5,-1, and 0

Use the form
a
sin
(
b
x
−
c
)
+
d
a
sin
(
b
x
-
c
)
+
d
to find the variables used to find the amplitude, period, phase shift, and vertical shift.
a
=
1
a
=
1
b
=
1
b
=
1
c
=
−
45
c
=
-
45
d
=
0
d
=
0
Find the amplitude
|
a
|
|
a
|
.
Amplitude:
1
1
Find the period using the formula
2
π
|
b
|
2
π
|
b
|
.
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Period:
2
π