A sinusoidal function has an amplitude of 6 units, a period of 45 degrees, and a minimum at (0,1), Determine an equation of the function?
- print Print
- list Cite
Expert Answers
Tushar Chandra
| Certified Educator
calendarEducator since 2010
write12,551 answers
starTop subjects are Math, Science, and Business
A sinusoidal function is of the form y = A*sin(n*x + C) + D.
A is the amplitude of the function and in this case A is equal to 3. As the minimum point is at (0, 1) the graph has to be lifted up by 4 units, D = 4. The period of the function is `pi/4` , as a result n = 16 and `C = -pi/2` to account for the fact that the function has a minimum at (0, 1).
The resulting equation of the function is `y = 3*sin(16*x - pi/2)+4`
Related Questions
- Construct a sinusoid equation with the given amplitude and period that goes through the given...
- 1 Educator Answer
- How do I determine if this equation is a linear function or a nonlinear function?
- 8 Educator Answers
- Sketch the graph of y=cos 3x, give amplitude and period.
- 1 Educator Answer
- How do you determine a linear function from a table and graph?
- 2 Educator Answers
- Given: In triangle ABC, <A=135 degrees. Prove: <B `!=` 45 degrees. (Write an indirect...
- 1 Educator Answer