MA 1310

posted by .

What is the amplitude, period and phase shift for y = 1/4 cos (3x +7)? Thank you, please show work.

  • MA 1310 -

    rewrite it in the more general form as

    y = (1/4) cos 3(x + 7/3)

    compared to y = a cos k(Ø + p)

    the amplitude is 1/4
    the period is 2π/3
    the phase shift is 7/3 to the left

    for your equation in the original form a common mistake would be to state that the sphase shift is 7.
    Note the step I took to avoid that error.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Pre Cal.

    State the amplitude, period, and phase shift of the function y=-3cos(3x+ (3pi/2)) Amplitude: 3 Period: 2pi/3 Phase Shift: -pi/2 Am I right?
  2. trig

    list the period, amplitude, interval, and phase shift of: g(t)=5/2sint-pi i know the amplitude is 5/2 but everything else im not getting. the regular formula for these is y=Asin(Bx+C)+D A is the amplitude B is the period which you …
  3. Precalculus

    1.Simplify the expression (sin x+cos x)^2 - sin2x 2.Determine the period, amplitude, and phase shift of f(x) = 2/3sin(4x+pie) Is the amplitude: 2/3, period: 2pie/4 phase shift: -pie/4
  4. Trig/Math

    2. f(x) = 1/4 cos(1/2 x + pi/2). Find the amplitude, period, and phase shift of the function. 3. f(x) = -cos(3x + pi). Find the amplitude, period, and phase shift of the function.
  5. Trig/Math

    f(x)=1/3sin(2/3x-π/4)+4 Find the amplitude, period, phase shift, and vertical shift of the function. Amplitude:1/3 Period:?
  6. Trig/Math

    f(x)=1/3sin(2/3x-π/4)+4 Find the amplitude, period, phase shift, and vertical shift of the function. Amplitude:1/3 Period:?
  7. Trig

    1)y=1-tan(3pi-2x) Find period and phase shift 2)y=-sin(5x+3) Find amplitude,period,and phase shift 3)y=1-sin(3pi-2x)Find amplitude,period,and phase shift 4)y=2csc(2x-1)Find period and phase shift 5)Given the graph of y = sin (x), what …
  8. Trigonometry

    Write the equation of a sine wave (also called sine curve) given: 1. amplitude = 2 period = pi/2 phase shift = pi/8 vertical shift = 1 2. amplitude = 4 period = 3 phase shift = 2 vertical shift = -1 3. amplitude = 4 period = pi phase …
  9. Trigonometry

    Write an equation of the cosine function with the given amplitude, period, phase shift, and vertical shift. amplitude = 3, period = pi, phase shift = -3/4 pi, vertical shift = -3
  10. trigonometry

    how to graph y= sin2(x+1) and y =cos 10(x+3) I know how to find amplitude period phase shift and Vertical shift for first question amp=1 period =pie phase shift =left 1 how to find points to plot it?

More Similar Questions