Practice Graphing Trig Function

Last updated 8 months ago
8 questions
Graphing Sin/Cos Functions
1
(Level 1) Identify the Midline/Amplitude and Period of the function

f(x)= 2\sin(\frac{\pi}{2}x)-3

Midline: _______
Amplitude: _______
Period: _______
1

(Level 2) Graph the function. Must complete at least 3 cycles.

f(x)= 2\sin(\frac{\pi}{2}x)-3

1

(Level 3) Graph the function. Must complete at least 3 cycles.

f(x)= -3\cos(\frac{1}{4}x)+4

1
(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)= -3\cos(\frac{\pi}{4}x)+4
Extracting Sin/Cos functions
1
(Level 1) Identify the Midline/Amplitude and Period of the function. Is it a sin or cos function?



Midline: _______
Amplitude: _______
Period: _______
sin/cos:_______
1

(Level 2) What is the equation of the function graphed below?


1

(Level 3) What is the equation of the function graphed below?



1

(Level 4) A Ferris wheel has a radius of 35 feet and it's center is 50 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.