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Laabri

Graphing Trig Function

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Last updated about 1 year ago
8 Nsɛmmisa
(5) Graphing Sin/Cos Functions
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(6) Extracting Sin/Cos functions
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

(Level 1) Identify the Midline/Amplitude and Period of the function

f(x)= 3\cos(\frac{\pi}{4}x)-2

Midline:

Amplitude:

Period:

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

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

f(x)= 3\sin(\frac{\pi}{4}x)-2

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

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

f(x)= -3\sin(\frac{1}{4}x)+2

Asemmisa {{asɛmmisaAhyɛnsode}}
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

Asemmisa {{asɛmmisaAhyɛnsode}}
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:

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

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

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

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

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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.