Question
Simultaneous Transformations of Periodic Functions Practice
Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Use the image to answer the question.
A waveform is graphed on a coordinate plane.
Write the equation of the function graphed using the cosine.
(2 points)
f(x)=
cos
(
)+
Remaini
Complete this assessment to review what you’ve learned. It will not count toward your grade.
5 of 55 of 5 Items
Question
Use the image to answer the question.
A waveform is graphed on a coordinate plane.
Write the equation of the function graphed using the cosine.
(2 points)
f(x)=
cos
(
)+
Remaini
Answers
GPT-4o mini
To write the equation of a cosine function based on a graph, we need to identify key characteristics of the waveform, such as its amplitude, period, phase shift, and vertical shift.
The general form of a cosine function is given by:
\[ f(x) = A \cos(B(x - C)) + D \]
Where:
- \( A \) is the amplitude.
- \( B \) is related to the period (the period \( P = \frac{2\pi}{B} \)).
- \( C \) is the horizontal shift (phase shift).
- \( D \) is the vertical shift.
To write the specific equation, please provide details about the amplitude, period, phase shift, and vertical shift from the waveform or describe the graph in question.
The general form of a cosine function is given by:
\[ f(x) = A \cos(B(x - C)) + D \]
Where:
- \( A \) is the amplitude.
- \( B \) is related to the period (the period \( P = \frac{2\pi}{B} \)).
- \( C \) is the horizontal shift (phase shift).
- \( D \) is the vertical shift.
To write the specific equation, please provide details about the amplitude, period, phase shift, and vertical shift from the waveform or describe the graph in question.