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Sinusoidal Function Parameters (3 Params) - Parameters to Function

Level 1

The topics in this unit focus on understanding how transformations change functions and the effects of stretch, compression, reflection, and moving the vertex. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

WorksheetView

Sinusoidal Function Parameters (3 Params) - Parameters to Function Worksheet

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Sinusoidal Function Parameters (3 Params) - Parameters to Function
1
A LaTex expression showing \text{Amplitude } = 5 over 11 \\\text{Period } = 6 Pi over 4 \\\text{Phase Shift } = 7 over 3 Pi \text{ left} \\\text{Vertical Shift } = 2 over 7 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -5 over 11 \cos (4 over 3 x-7 over 3 Pi )+2 over 7
b A LaTex expression showing f(x) = -5 over 11 \cos (4 over 3 x+7 over 3 )+2 over 7
c A LaTex expression showing f(x) = -5 over 11 \cos (4 over 3 x+7 over 3 Pi )+2 over 7
d A LaTex expression showing f(x) = -5 over 11 \cos (2 over 7 x+7 over 3 Pi )+4 over 3
2
A LaTex expression showing \text{Amplitude } = 6 over 7 \\\text{Period } = 14 Pi over 3 \\\text{Phase Shift } = 5 over 2 \text{ left} \\\text{Vertical Shift } = 4 over 7 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = 6 over 7 \cos (3 over 7 x+5 over 2 Pi )+4 over 7
b A LaTex expression showing f(x) = 6 over 7 \cos (3 over 7 x+5 over 2 )+4 over 7
c A LaTex expression showing f(x) = 4 over 7 \cos (3 over 7 x+5 over 2 )+6 over 7
d A LaTex expression showing f(x) = 6 over 7 \cos (4 over 7 x+5 over 2 )+3 over 7
3
A LaTex expression showing \text{Amplitude } = 8 over 3 \\\text{Period } = 4 Pi over 5 \\\text{Phase Shift } = 6 over 3 Pi \text{ left} \\\text{Vertical Shift } = 5 over 3 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -8 over 3 \cos (5 over 2 x+5 over 3 Pi )+6 over 3
b A LaTex expression showing f(x) = -8 over 3 \cos (5 over 2 x-6 over 3 Pi )+5 over 3
c A LaTex expression showing f(x) = 6 over 3 \cos (5 over 2 x-8 over 3 Pi )+5 over 3
d A LaTex expression showing f(x) = -8 over 3 \cos (5 over 2 x+6 over 3 Pi )+5 over 3
4
A LaTex expression showing \text{Amplitude } = 6 over 2 \\\text{Period } = 4 over 5 \\\text{Phase Shift } = 5 over 11 \text{ left} \\\text{Vertical Shift } = 4 over 5 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -6 over 2 \sin (5 over 2 Pi x+5 over 11 )+4 over 5
b A LaTex expression showing f(x) = -6 over 2 \sin (5 over 2 Pi x-5 over 11 )+4 over 5
c A LaTex expression showing f(x) = 4 over 5 \sin (5 over 2 Pi x-5 over 11 )-6 over 2
d A LaTex expression showing f(x) = 4 over 5 \sin (5 over 2 Pi x+5 over 11 )-6 over 2
5
A LaTex expression showing \text{Amplitude } = 7 over 5 \\\text{Period } = 22 over 8 \\\text{Phase Shift } = 7 over 2 Pi \text{ left} \\\text{Vertical Shift } = 4 over 2 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -7 over 5 \cos (8 over 11 Pi x+7 over 2 Pi )+4 over 2
b A LaTex expression showing f(x) = -7 over 5 \cos (4 over 2 Pi x+7 over 2 Pi )+8 over 11
c A LaTex expression showing f(x) = -7 over 5 \cos (8 over 11 Pi x+4 over 2 Pi )+7 over 2
d A LaTex expression showing f(x) = -7 over 5 \cos (8 over 11 x+7 over 2 Pi )+4 over 2
6
A LaTex expression showing \text{Amplitude } = 3 over 7 \\\text{Period } = 14 Pi over 5 \\\text{Phase Shift } = 5 over 2 Pi \text{ left} \\\text{Vertical Shift } = 3 over 5 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -3 over 7 \cos (5 over 2 x+5 over 7 Pi )+3 over 5
b A LaTex expression showing f(x) = 5 over 7 \cos (-3 over 7 x+5 over 2 Pi )+3 over 5
c A LaTex expression showing f(x) = -3 over 7 \cos (5 over 7 x+5 over 2 Pi )+3 over 5
d A LaTex expression showing f(x) = -3 over 7 \cos (5 over 7 x+3 over 5 Pi )+5 over 2
7
A LaTex expression showing \text{Amplitude } = 5 over 2 \\\text{Period } = 14 over 6 \\\text{Phase Shift } = 8 over 7 \text{ left} \\\text{Vertical Shift } = 5 over 11 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -5 over 2 \sin (8 over 7 Pi x+6 over 7 )+5 over 11
b A LaTex expression showing f(x) = 6 over 7 \sin (-5 over 2 Pi x+8 over 7 )+5 over 11
c A LaTex expression showing f(x) = -5 over 2 \sin (6 over 7 Pi x+8 over 7 )+5 over 11
d A LaTex expression showing f(x) = 8 over 7 \sin (6 over 7 Pi x-5 over 2 )+5 over 11
8
A LaTex expression showing \text{Amplitude } = 5 over 5 \\\text{Period } = 6 over 4 \\\text{Phase Shift } = 4 over 7 Pi \text{ left} \\\text{Vertical Shift } = 6 over 2 \\
Which sinusoidal function has these parameters?
a A LaTex expression showing f(x) = -5 over 5 \cos (4 over 3 Pi x+4 over 7 Pi )+6 over 2
b A LaTex expression showing f(x) = -5 over 5 \cos (4 over 3 x+4 over 7 Pi )+6 over 2
c A LaTex expression showing f(x) = 4 over 7 \cos (4 over 3 Pi x-5 over 5 Pi )+6 over 2
d A LaTex expression showing f(x) = -5 over 5 \cos (4 over 3 Pi x+6 over 2 Pi )+4 over 7