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Sinusoidal Function Parameters (2 Params) - Function to Graph

Level 1

This math topic focuses on understanding sinusoidal function parameters and their graphical representations. Students are required to determine the correct graph based on given sinusoidal functions that involve parameters like amplitude, phase shift, vertical shift, and period. Specifically, this set of problems helps students visualize changes in sinusoidal functions through variations in key parameters and identify corresponding graphs which accurately reflect these modifications. The content is targeted to reinforce concepts of transformation, composition, and inversion within sinusoidal contexts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

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Sinusoidal Function Parameters (2 Params) - Function to Graph
1
A LaTex expression showing f(x) = \cos (1 over 6 Pi x+2 Pi )
Which graph shows a sinusoidal function with this phase shift?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
2
Which graph shows a sinusoidal function with this phase shift?
A LaTex expression showing f(x) = -7\sin (x+6)
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
3
A LaTex expression showing f(x) = -6\sin (1 over 6 Pi x)
Which graph shows a sinusoidal function with this amplitude?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
4
Which graph shows a sinusoidal function with this amplitude?
A LaTex expression showing f(x) = -3\cos (3x)
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
5
A LaTex expression showing f(x) = \sin (1 over 3 Pi x+3 Pi )
Which graph shows a sinusoidal function with this phase shift?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
6
Which graph shows a sinusoidal function with this vertical shift?
A LaTex expression showing f(x) = \cos (2x)+4
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
7
A LaTex expression showing f(x) = \sin (1 over 2 Pi x+3)
Which graph shows a sinusoidal function with this period?
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem
8
Which graph shows a sinusoidal function with this phase shift?
A LaTex expression showing f(x) = 4\sin (x+7 Pi )
a An svg image showing a possible answer to this math problem
b An svg image showing a possible answer to this math problem