Pre cal

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

  1. 👍 0
  2. 👎 0
  3. 👁 100
asked by Angela
  1. 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)

    1. 👍 0
    2. 👎 0
    posted by Damon
  2. Oh if they insist on sin rather than cos, use phase shift of pi/2

    y = 2 sin (4 theta - pi/2)

    1. 👍 0
    2. 👎 0
    posted by Damon
  3. not -pi/2 but +pi/2

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. 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.

    asked by Leo on November 5, 2006
  2. Math-Graphs

    graph g(x)=4(x^3)-24x+9 on a calulator and estimate the local maxima and minima. the answers are either a)The local maximum is about –13.627417. The local minimum is about 31.627417. b)The local maximum is about 31.627417. The

    asked by Max on July 21, 2008
  3. 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

    asked by Jake on July 30, 2016
  4. Calculus

    The function f(x)=-2x^3+30x^2-96x+8 has one local minimum & one local maximum. This function has a local minimum at x equals ______ with value __________ and a local maximum at x equals _______ with value __________ .

    asked by Skirby on October 29, 2013
  5. 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 _______?

    asked by Daniela Davila on May 2, 2008
  6. Math

    Use the given graph of the function on the interval (0,8] to answer the following questions. Where does the function f have a local maximum? Answer (separate by commas): x= Where does the function f have a local minimum? What is

    asked by Jake on March 26, 2019
  7. Calculus

    For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change

    asked by Sean on November 1, 2009
  8. Calculus

    For any constant c, define the function f_c(x)= x^3+2x^2+cx. (a) Graph y = f_c(x) for these values of the parameter c: c = -1, 0, 1, 2, 3, 4. What are the similarities and differences among the graphs, and how do the graphs change

    asked by Sean on November 1, 2009
  9. MATH

    Determine an equation of a sinusoidal function that has a maximum at (5, 4) and a minimum at (2, -10).

    asked by ROBIN on July 15, 2013
  10. How to sketch graph of...

    a differentiable function y =f(x) that has the given properties. 1. local minimum at (1,1), and local maximum at (3,3) 2. local minima at (1,1) and (3,3) 3. local maxima at (1,1) and (3,3) I don't remember how to do this. Thank

    asked by Jen on November 3, 2006

More Similar Questions