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Sinusoidal Function Parameters (2 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.

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Sinusoidal Function Parameters (2 Params) - Parameters to Function Worksheet

Sinusoidal Function Parameters (2 Params) - Parameters to Function

$A LaTex expression showing \text{Amplitude } = 5 over 3 \\\text{Vertical Shift } = 4 over 5 \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = 8 over 2 \sin (2 over 5 Pi x+5 over 3 Pi )+4 over 5$

b $A LaTex expression showing f(x) = 4 over 5 \sin (2 over 5 Pi x+8 over 2 Pi )+5 over 3$

c $A LaTex expression showing f(x) = 5 over 3 \sin (8 over 2 Pi x+2 over 5 Pi )+4 over 5$

d $A LaTex expression showing f(x) = 5 over 3 \sin (2 over 5 Pi x+8 over 2 Pi )+4 over 5$

$A LaTex expression showing \text{Period } = 10 Pi over 7 \\\text{Phase Shift } = 2 over 5 \text{ left} \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = -8 over 11 \cos (7 over 5 x+2 over 5 )+2 over 11$

b $A LaTex expression showing f(x) = 7 over 5 \cos (-8 over 11 x+2 over 5 )+2 over 11$

c $A LaTex expression showing f(x) = -8 over 11 \cos (7 over 5 Pi x+2 over 5 )+2 over 11$

d $A LaTex expression showing f(x) = 2 over 11 \cos (7 over 5 x+2 over 5 )-8 over 11$

$A LaTex expression showing \text{Period } = 14 over 6 \\\text{Phase Shift } = 5 over 2 \text{ left} \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = 6 over 7 \cos (-5 over 7 Pi x+5 over 2 )+5 over 7$

b $A LaTex expression showing f(x) = 5 over 2 \cos (6 over 7 Pi x-5 over 7 )+5 over 7$

c $A LaTex expression showing f(x) = -5 over 7 \cos (5 over 2 Pi x+6 over 7 )+5 over 7$

d $A LaTex expression showing f(x) = -5 over 7 \cos (6 over 7 Pi x+5 over 2 )+5 over 7$

Which sinusoidal function has these parameters?

$A LaTex expression showing \text{Amplitude } = 5 over 7 \\\text{Phase Shift } = 2 over 7 Pi \text{ left} \\$

a $A LaTex expression showing f(x) = -5 over 7 \sin (7 over 3 Pi x+2 over 7 Pi )+2 over 11$

b $A LaTex expression showing f(x) = -5 over 7 \sin (7 over 3 x+2 over 7 Pi )+2 over 11$

c $A LaTex expression showing f(x) = 7 over 3 \sin (-5 over 7 x+2 over 7 Pi )+2 over 11$

d $A LaTex expression showing f(x) = -5 over 7 \sin (2 over 11 x+2 over 7 Pi )+7 over 3$

$A LaTex expression showing \text{Amplitude } = 8 over 3 \\\text{Vertical Shift } = 4 over 5 \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = -8 over 3 \sin (2 over 5 x-3 over 5 Pi )+4 over 5$

b $A LaTex expression showing f(x) = -8 over 3 \sin (2 over 5 x-3 over 5 )+4 over 5$

c $A LaTex expression showing f(x) = 4 over 5 \sin (2 over 5 x-3 over 5 )-8 over 3$

d $A LaTex expression showing f(x) = -8 over 3 \sin (2 over 5 x+3 over 5 )+4 over 5$

Which sinusoidal function has these parameters?

$A LaTex expression showing \text{Amplitude } = 3 over 11 \\\text{Period } = 6 over 2 \\$

a $A LaTex expression showing f(x) = -3 over 11 \sin (2 over 3 Pi x+8 over 5 )+8 over 7$

b $A LaTex expression showing f(x) = 8 over 5 \sin (2 over 3 Pi x-3 over 11 )+8 over 7$

c $A LaTex expression showing f(x) = -3 over 11 \sin (8 over 7 Pi x-8 over 5 )+2 over 3$

d $A LaTex expression showing f(x) = -3 over 11 \sin (2 over 3 Pi x-8 over 5 )+8 over 7$

$A LaTex expression showing \text{Period } = 14 over 8 \\\text{Vertical Shift } = 4 over 7 \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = 4 over 2 \cos (8 over 7 Pi x-7 over 2 )+4 over 7$

b $A LaTex expression showing f(x) = 4 over 2 \cos (8 over 7 Pi x+7 over 2 Pi )+4 over 7$

c $A LaTex expression showing f(x) = 4 over 2 \cos (8 over 7 Pi x+7 over 2 )+4 over 7$

d $A LaTex expression showing f(x) = 4 over 7 \cos (8 over 7 Pi x+7 over 2 )+4 over 2$

$A LaTex expression showing \text{Period } = 6 over 8 \\\text{Vertical Shift } = 2 over 3 \\$

Which sinusoidal function has these parameters?

a $A LaTex expression showing f(x) = -7 over 7 \cos (8 over 3 Pi x+3 over 7 Pi )+2 over 3$

b $A LaTex expression showing f(x) = -7 over 7 \cos (8 over 3 Pi x+3 over 7 )+2 over 3$

c $A LaTex expression showing f(x) = -7 over 7 \cos (2 over 3 Pi x+3 over 7 )+8 over 3$

d $A LaTex expression showing f(x) = -7 over 7 \cos (8 over 3 x+3 over 7 )+2 over 3$