Sinusoidal Function Parameters (1 Param) - Function to Graph

Level 1

This topic explores sinusoidal function parameters and their visual representations in graphs. It involves identifying characteristics such as period, amplitude, and vertical shifts from given sinusoidal functions in the form of latex expressions and matching them to the correct graph. The problems are contextually placed within the study of function transformations, composition, and inversion, aiming to enhance understanding of how sinusoidal parameters affect the shape of their respective graphs.

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

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

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Sinusoidal Function Parameters (1 Param) - Function to Graph
1
A LaTex expression showing f(x) = \cos (3 over 4 Pi x)
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
2
A LaTex expression showing f(x) = \cos (2x)
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
3
A LaTex expression showing f(x) = \cos (1 over 4 Pi x)
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
4
Which graph shows a sinusoidal function with this amplitude?
A LaTex expression showing f(x) = -4\cos (x)
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
Which graph shows a sinusoidal function with this vertical shift?
A LaTex expression showing f(x) = \sin (x)+2
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
A LaTex expression showing f(x) = \sin (2x)
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
7
A LaTex expression showing f(x) = \sin (1 over 2 Pi x)
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
A LaTex expression showing f(x) = \cos (1 over 6 Pi x)
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