SOLUTION: One cycle of a trigonometric function of the form y=Asin(Bx) or y=Acos(Bx) is given. Determine the equasion of the function represented by the following graph: https://w

Algebra ->  Trigonometry-basics -> SOLUTION: One cycle of a trigonometric function of the form y=Asin(Bx) or y=Acos(Bx) is given. Determine the equasion of the function represented by the following graph: https://w      Log On


   

Question 1103457: One cycle of a trigonometric function of the form y=Asin(Bx) or y=Acos(Bx) is given. Determine the equasion of the function represented by the following graph:
https://www.dropbox.com/s/7pu0oq6z6tophb9/Screen%20Shot%202017-12-02%20at%2011.06.23%20PM.png?dl=0
1. The graph represents a function of the form _____ for B > 0
2. The period of this function is ____.
3. What is the value of B ?
4. What is the value of A ?
5. What function of the form y=Asin(Bx) or y=Acos(Bx), B > 0 is represented by the given graph?
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The function value at 0 is 0, so it is a sine graph.

The function value varies between -1 and 1, so the amplitude (A) is either 1 or -1.

Since the graph, starting from 0, goes negative, the amplitude A is -1.

The period of a sine graph is 2pi. Since this graph completes a period in 10pi, variable B in the equation is 2pi%2F10pi+=+1%2F5

So the graph is a graph of
-1sin%28%281%2F5%29x%29