At a marine park, three trained dolphins jump in unison over an arching stream of water whose path can be described by the polynomial function f(x) = -0.03x2 + 2x where x is the takeoff point. Given the takeoff points for each dolphin, how high must each jump to clear the stream of water? Dolphin Height ft takeoff at 15 ft takeoff at 20 ft ft takeoff at 30 ft ft 15 ft 20 ft 30 ft Water level Take-off points for dolphins
At a marine park, three trained dolphins jump in unison over an arching stream of water whose path can be described by the polynomial function f(x) = -0.03x2 + 2x where x is the takeoff point. Given the takeoff points for each dolphin, how high must each jump to clear the stream of water? Dolphin Height ft takeoff at 15 ft takeoff at 20 ft ft takeoff at 30 ft ft 15 ft 20 ft 30 ft Water level Take-off points for dolphins
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![### Dolphin Jumps at a Marine Park
At a marine park, three trained dolphins jump in unison over an arching stream of water. The path of their jumps can be described by the polynomial function:
\[ f(x) = -0.03x^2 + 2x \]
where \( x \) is the takeoff point. Given the takeoff points for each dolphin, we need to determine how high each dolphin must jump to clear the stream of water.
#### Table of Takeoff Points and Heights
| Dolphin Takeoff Point | Height |
|-----------------------|--------|
| takeoff at 15 ft | |
| takeoff at 20 ft | |
| takeoff at 30 ft | |
#### Graph/Diagram Explanation
The accompanying diagram illustrates the trajectory of the dolphins’ jumps, represented by a red parabolic curve above the water level. The x-axis indicates the takeoff points at 15 ft, 20 ft, and 30 ft, while the y-axis represents the height of the jumps. The blue background signifies the water, with the surface indicated as the “Water level.”
Three dolphins are shown making synchronised jumps along the parabolic curve, visually demonstrating the heights corresponding to their respective takeoff points. The overall aim is to calculate these heights for each given point on the x-axis using the polynomial function \( f(x) \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c69c300-2450-4b46-97af-8596007e11b9%2F5e30b307-69bd-477b-94a3-1badcb8d85b3%2Fv11ivnt_processed.png&w=3840&q=75)
Transcribed Image Text:### Dolphin Jumps at a Marine Park
At a marine park, three trained dolphins jump in unison over an arching stream of water. The path of their jumps can be described by the polynomial function:
\[ f(x) = -0.03x^2 + 2x \]
where \( x \) is the takeoff point. Given the takeoff points for each dolphin, we need to determine how high each dolphin must jump to clear the stream of water.
#### Table of Takeoff Points and Heights
| Dolphin Takeoff Point | Height |
|-----------------------|--------|
| takeoff at 15 ft | |
| takeoff at 20 ft | |
| takeoff at 30 ft | |
#### Graph/Diagram Explanation
The accompanying diagram illustrates the trajectory of the dolphins’ jumps, represented by a red parabolic curve above the water level. The x-axis indicates the takeoff points at 15 ft, 20 ft, and 30 ft, while the y-axis represents the height of the jumps. The blue background signifies the water, with the surface indicated as the “Water level.”
Three dolphins are shown making synchronised jumps along the parabolic curve, visually demonstrating the heights corresponding to their respective takeoff points. The overall aim is to calculate these heights for each given point on the x-axis using the polynomial function \( f(x) \).
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