In Canada's Wonderland there is a roller coaster that is a continuous series of identical hills that are 19 feet high from the ground. The platform to get on the ride is on top of the first hill. It takes 4 seconds for the coaster to reach the bottom of the hill 7 feet off the ground. 1) Assuming that the roller coaster follows a sinusoidal pattern, sketch a graph of the roller coaster's height on the coordinate grid below. (Use the Draw Menu!) 20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 8 -7 6 5 4 3 2 2) What is the amplitude of the function? 9 10 11 3) What is the midline/vertical shift of the function? 12 13 14
In Canada's Wonderland there is a roller coaster that is a continuous series of identical hills that are 19 feet high from the ground. The platform to get on the ride is on top of the first hill. It takes 4 seconds for the coaster to reach the bottom of the hill 7 feet off the ground. 1) Assuming that the roller coaster follows a sinusoidal pattern, sketch a graph of the roller coaster's height on the coordinate grid below. (Use the Draw Menu!) 20 -19 -18 -17 -16 -15 -14 -13 -12 -11 -10 -9 8 -7 6 5 4 3 2 2) What is the amplitude of the function? 9 10 11 3) What is the midline/vertical shift of the function? 12 13 14
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 38E
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Transcribed Image Text:In Canada's Wonderland there is a roller coaster that is a continuous series
of identical hills that are 19 feet high from the ground. The platform to get
on the ride is on top of the first hill. It takes 4 seconds for the coaster to
reach the bottom of the hill 7 feet off the ground.
1) Assuming that the roller coaster follows a sinusoidal pattern, sketch a
graph of the roller coaster's height on the coordinate grid below.
(Use the Draw Menu!)
20
19
-18
17
16
15
14
-13
12
11
-10
8
2
4
6
7
8
2) What is the amplitude of the function?
9
10
3) What is the midline/vertical shift of the function?
4) What is its period?
5) What is the phase shift for a cosine function?
6) What is the phase shift for a sine function?
11
12
13 14
7) What is the cosine equation for this function? What is the sine
equation for this function?
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