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Sinusoidal Function Parameters (4 Params) - Function to Graph

Level 1

This math topic explores sinusoidal function parameters through practice problems. It involves interpreting and matching equations of sinusoidal functions to their respective graphs, focusing on parameters such as phase shift, amplitude, vertical shift, and period. Each question presents an equation and asks to identify the correct graph that represents it among multiple choices. This set of problems is ideal for students aiming to understand the visualization and effects of different sinusoidal function parameters.

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

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Sinusoidal Function Parameters (4 Params) - Function to Graph Worksheet

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