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Sinusoidal Function Parameters (1 Param) - 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 (1 Param) - Parameters to Function Worksheet

Sinusoidal Function Parameters (1 Param) - Parameters to Function

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Phase Shift } = 4 over 3 \text{ left} \\$

a $A LaTex expression showing f(x) = 2 over 3 \cos (7 over 3 x+4 over 3 )+2 over 5$

b $A LaTex expression showing f(x) = 2 over 3 \cos (7 over 3 x+2 over 5 )+4 over 3$

c $A LaTex expression showing f(x) = 2 over 3 \cos (4 over 3 x+7 over 3 )+2 over 5$

d $A LaTex expression showing f(x) = 2 over 3 \cos (7 over 3 x+4 over 3 Pi )+2 over 5$

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Vertical Shift } = 4 over 2 \\$

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

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

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

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

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Amplitude } = 6 over 7 \\$

a $A LaTex expression showing f(x) = 6 over 7 \sin (3 over 7 x+7 over 11 )+5 over 7$

b $A LaTex expression showing f(x) = 7 over 11 \sin (3 over 7 x+6 over 7 )+5 over 7$

c $A LaTex expression showing f(x) = 6 over 7 \sin (3 over 7 x+7 over 11 Pi )+5 over 7$

d $A LaTex expression showing f(x) = 6 over 7 \sin (3 over 7 x+5 over 7 )+7 over 11$

Which sinusoidal function has this parameter?

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

a $A LaTex expression showing f(x) = 6 over 5 \sin (-8 over 3 x+6 over 11 )+8 over 3$

b $A LaTex expression showing f(x) = -8 over 3 \sin (6 over 11 x+6 over 5 )+8 over 3$

c $A LaTex expression showing f(x) = -8 over 3 \sin (6 over 5 x+6 over 11 )+8 over 3$

d $A LaTex expression showing f(x) = -8 over 3 \sin (6 over 5 Pi x+6 over 11 )+8 over 3$

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Amplitude } = 8 over 5 \\$

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

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

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

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

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Period } = 4 over 8 \\$

a $A LaTex expression showing f(x) = 8 over 2 \cos (-8 over 2 Pi x+7 over 2 )+4 over 5$

b $A LaTex expression showing f(x) = -8 over 2 \cos (8 over 2 Pi x+7 over 2 Pi )+4 over 5$

c $A LaTex expression showing f(x) = -8 over 2 \cos (8 over 2 x+7 over 2 )+4 over 5$

d $A LaTex expression showing f(x) = -8 over 2 \cos (8 over 2 Pi x+7 over 2 )+4 over 5$

Which sinusoidal function has this parameter?

$A LaTex expression showing \text{Period } = 14 Pi over 6 \\$

a $A LaTex expression showing f(x) = 2 over 5 \cos (6 over 7 Pi x+3 over 11 Pi )+3 over 5$

b $A LaTex expression showing f(x) = 2 over 5 \cos (6 over 7 x+3 over 11 Pi )+3 over 5$

c $A LaTex expression showing f(x) = 2 over 5 \cos (6 over 7 x+3 over 11 )+3 over 5$

d $A LaTex expression showing f(x) = 2 over 5 \cos (6 over 7 x-3 over 11 Pi )+3 over 5$

Which sinusoidal function has this parameter?

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

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

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

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

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