Pre cal
posted by Angela .
a sinusoidal function has a local maximum at (0,2) and the next minimum at (Pi/4, 2). a correct equation for the function is

max at t = 0 is a cos function
y = A cos (k theta)
max is 2 so
y = 2 cos (k theta)
min of cos is at (k *pi/4) = pi radians
so k = 4
y = 2 cos (4 theta) 
Oh if they insist on sin rather than cos, use phase shift of pi/2
y = 2 sin (4 theta  pi/2) 
not pi/2 but +pi/2
Respond to this Question
Similar Questions

how to sketch a graph of..
Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph. Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points. Thank … 
precal: graphs of functions fill in the blank
To find the domain of a function from its graph... To find the range of a function from its graph... To approximate the relative minimum or maximum of a function using a graphing utility,... Let a(,f(a)) and (b,f(b)) be two points … 
Business Calculus
The function f(x)=4x+9x^1 has one local minimum and one local maximum. Question: This function has a local minimum at x=______ with a value _______ and a local maximum at x=________ with value _______? 
calculus
a function has a local maximum at x=2 and x=6 and a local minimum at x=1. how do u find the concavity of this function and point of inflection? 
calculus
a function has a local maximum at x=2 and x=6 and a local minimum at x=1. how do u find the concavity of this function and point of inflection? 
Pre Calculus 12
Graphing trigonometric functions A sinusoidal function has a maximum at (2,10) and its next minimum (5,2) find an equation that represents this situation A sinuosoidal function has a zero at (5,0) and its next minimum is (7,4). find … 
MATH
Determine an equation of a sinusoidal function that has a maximum at (5, 4) and a minimum at (2, 10). 
Pre cal
In a sinusoidal,function, how do you determine whether or not y= sin4(x) has a period of 2 pi If it is equal to 2 pi then what is a sinusoidal function that is not equal to 2 pi 
PreCalculus
f(x) is a sinusoidal curve with maximum at f(0)=10 and next minimum at f(6)=0. Find the equation? 
Calculus AB
If a sinusoidal function has a local maximum at (3,8) and the next local minimum at (7,2), 1) What is the equation of a cosine function that has a graph characterized in the statement above 2) What is the equation of a sine function …