MATH

posted by .

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

  • MATH -

    amplitude = (max-min)/2 = 7
    center of wave is at y = (max+min)/2 = -3

    f(x) = 7cos(ax+b) - 3

    since min is at x=2, and the half-period is 5-2 = 3, the period is 6.

    f(x) = -7cos(π/3(x-2))-3

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra- Maximum and minimum.

    I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = -x2 + 2x - 4 20.f(x) …
  2. Algebra2

    Complete parts a – c for each quadratic function: a. Find the y-intercept, the equation of the axis of symmetry and the x- coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph …
  3. 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
  4. mathematics - sinusoidal curves

    Owen is jumping on a trampoline. When his feet hit the deck of the trampoline, the material depresses to a minimum height of 2cm. On average, Owen is reaching a maximum height of 200cm every 10 seconds. Determine the equation of a …
  5. Algebra 2

    The vertices of a feasible region are A(1,2), B(5,2), C(1,40. Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.
  6. Algebra 2

    The vertices of a feasible region are A(1,2), B(5,2), C(1,4). Write a function that satisfies each equation. a) A is the maximum and B is the minimum. b) C is the maximum and B is the minimum. c) B is the maximum and A is the minimum.
  7. 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 …
  8. Pre-Calculus

    f(x) is a sinusoidal curve with maximum at f(0)=10 and next minimum at f(6)=0. Find the equation?
  9. 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 …
  10. math (sinusoidal functions

    The height of the rider on a Ferris Wheel can be modeled by a cosine function. At time t = 0, a rider boards the Ferris Wheel at its minimum height of 3 m. The maximum height of the Ferris Wheel is 39 m. During the 8 minute ride, the …

More Similar Questions