(Level 1) Identify the Midline/Amplitude and Period of the function
f(x)= 3\cos(\frac{\pi}{4}x)-2
Midline: _______
Amplitude: _______
Period: _______
1 point
1
Question 2
2.
(Level 2) Graph the function. Must complete at least 3 cycles.
f(x)= 3\sin(\frac{\pi}{4}x)-2
1 point
1
Question 3
3.
(Level 3) Graph the function. Must complete at least 3 cycles.
f(x)= -3\sin(\frac{1}{4}x)+2
1 point
1
Question 4
4.
(Level 4) A small Ferris wheel follows a path of the function modeled below. Graph the function below and identify the following
How long does it take for the Ferris wheel to complete a rotation? _______
Explain how you know? _______
Based on the equation, what part of the Ferris wheel to they board? How do you know? _______
How high off the ground is the center of the Ferris Wheel? _______
f(x)= -2\sin(\frac{\pi}{8}x)+6
(6) Extracting Sin/Cos functions
1 point
1
Question 5
5.
(Level 1) Identify the Midline/Amplitude and Period of the function. Is it a sin or cos function?
Mid line: _______
Amplitude: _______
Period: _______
sin/cos:_______
1 point
1
Question 6
6.
(Level 2) What is the equation of the function graphed below?
1 point
1
Question 7
7.
(Level 3) What is the equation of the function graphed below?
1 point
1
Question 8
8.
(Level 4) A Ferris wheel has a radius of 50 feet and it's center is 75 ft above the ground. A person boards the Ferris wheel at the lowest point. It takes the Ferris wheel 120 seconds to make a full rotation around. Write and graph an equation for the Ferris wheel where x represents seconds and y represents ft above the ground.