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!)
**Graph Explanation:**
The coordinate grid features a y-axis labeled with heights ranging from -20 to 20 feet in increments of 1 and a time-based x-axis that increases in increments of 1 from 0 to 14. You are encouraged to sketch a sinusoidal wave representing the roller coaster's height over time, considering the given details.
2) What is the amplitude of the function?
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?
7) What is the cosine equation for this function? What is the sine equation for this function?
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