What are the maximum, minimum, midline and amplitude of the following graph:
Maximum: _______
Minimum: _______
Midline at y= _______
Amplitude: _______
5 points
5
Question 2
2.
What are the maximum, minimum, midline and amplitude of the following graph:
Maximum: _______
Minimum: _______
Midline at y= _______
Amplitude: _______
5 points
5
Question 3
3.
What is the amplitude of the following equation: f(x)=\pi\sin x
5 points
5
Question 4
4.
What is the amplitude of the following graph:
5 points
5
Question 5
5.
What is the frequency of the sinusoidal equation:
f(x)=\cos(\frac{2x}{3})+1
5 points
5
Question 6
6.
What is the period of the following sinusoidal equation:
f(x)=\cos(\frac{10x}{7})-3
5 points
5
Question 7
7.
Write an equation in the form of f(x)=\cos(Bx) that has a frequency of \frac{2}{5\pi}
5 points
5
Question 8
8.
Rewrite the equation f(x)=\sin(\pi x) so that it is shifted vertically -1 units
5 points
5
Question 9
9.
Determine the Midline, Amplitude, Maximum, Minimum, Period, and Frequency of the following function
f(x)=0.25\sin(\frac{4x}{7})+3
Midline:_______
Amplitude:_______
Maximum:_______
Minimum:_______
Period:_______
Frequency:_______
5 points
5
Question 10
10.
Determine the Midline, Amplitude, Maximum, Minimum, Period, and Frequency of the following function
f(x)=13\cos(19x)-12.5
Midline:_______
Amplitude:_______
Maximum:_______
Minimum:_______
Period:_______
Frequency:_______
5 points
5
Question 11
11.
Create an equation in the form of f(x)=A\sin(Bx)+C with the given characteristics:
Period: \frac{4\pi}{11}
Amplitude: 9.33
Midline: 6
Equation: f(x)=_________ \sin(_________ x)+______
Other Answer Choices:
-4
8.75
12/2
-3
6.5
11/2
4
9.25
4.5
10/3
9.33
5
6
5 points
5
Question 12
12.
An object attached to a spring oscillates around a stable (equilibrium) position according to the position formula given by s(t) = 8\sin(3t) where t is in seconds and s(t) is in feet. What are the period, frequency and maximum from the stable (equilibrium) position?
Period:_______
Frequency:_______
Maximum:_______
10 points
10
Question 13
13.
When you board a Ferris wheel your feet are 1 foot off the ground. At the highest point of the ride, your feet are 99 feet above the ground. It takes 30 seconds for the ride to complete one full revolution. Write a trigonometric equation for your height above the ground at x seconds after the ride starts.