Period and Amplitude
What is the amplitude of 3sin(x)?
Identify what 1.5 means in this equation:
h(t)=5+1.5sin(pi/6t)
What is the amplitude.
What feature of a graph tells you the amplitude?
What is the distance from the midline to the peak?
Write the general form of a sine function.
What is
y=Asin(B(x+c))+D
What is the period of cos(2x)?
What is
pi
What is the average of the following function?
h(t)=5+1.5sin(pi/6t)
What is 5 feet?
What does the midline of a trig function represent on a graph?
What is the average value or vertical shift?
What part of the equation controls amplitude?
y=Asin(B(x+C))+D
What is A?
If a sine function has a period of 3, what is the value of b in sin(bx)?
What is
(2pi)/3
What is the total height difference between the max and min?
h(t)=5+1.5sin(pi/6t)
What is 3 feet?
If a graph peaks at 3 and bottoms at -1, what is the amplitude and midline?
What is amplitude 2 and midline 1?
What part of the equation controls the period?
y=Asin(B(x+C))+D
What is B, using
(2pi)/B
The function -2sin(x)+1 has what amplitude and midline?
What is amplitude 2 and midline y=1?
What is the period of
h(t)=5+1.5sin(pi/6t)
What is 12 hours?
What is the period of sin(x)?
What is
2pi?
Write an equation with amplitude 3, midline at 2, and period
pi
What is y=3sin(2x)+2?
Write the equation of a cosine function with the period:
4pi.
What is
y=cos(1/2x)
In a function modeling a passenger swaying on a train, the amplitude is 2. What does that mean in context?
What is the passenger sways 2 feet from the center position?
Given a graph of a trig function, how do you write the equation?
What is identify amplitude, period, phase shift, and vertical shift to build the equation?
Write a cosine function with period 6, amplitude 1, and midline -2.
What is
y=cos(pi/3x)-2?