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# Sinewave equation watch

1. well im having quite alot of trouble doing questions like these could someone give me some insight into how they should be done thank you!

A function f(x) is known to be of the form F(x)=Acos(px+q) + B. It has a local maximum at (6, 8) and the next local minimum is at (10, 2). Find the constants A, p, q and B and hence give the formula for the function.
2. Draw the graph of the cosine function. What is the maximum value that cos(px+q) can take? So what is the maximum value that A*cos(px+q) can take? So what is the maximum value that A*cos(px+q) can take?
3. The graph of has a maximum at and a minimum at ... what transformations might you be able to apply to the graph of to map these to the points and , respectively?
4. How do you find the stationery point of a function? You're given co-ordinates of the minimum point and maximum point so you can work backwards when considering first and second derivatives to find the values of the constants.
5. a=3 b=5 these correct?
6. (Original post by nuodai)
The graph of has a maximum at and a minimum at ... what transformations might you be able to apply to the graph of to map these to the points and , respectively?
a=3 b=5 these rite?

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