An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 3030​°, its​ height, in​ feet, can be modeled by f(x)=−0.01x2+0.6x+5.7, where x is the​ shot's horizontal​ distance, in​ feet, from its point of release.  What is the maximum height of the shot and how far from its point of release does this​ occur? What is the​ shot's maximum horizontal​ distance, to the nearest tenth of a​ foot, or the distance of the​ throw? From what height was the shot​ released?

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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An athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of
3030​°, its​ height, in​ feet, can be modeled by
f(x)=−0.01x2+0.6x+5.7,

where x is the​ shot's horizontal​ distance, in​ feet, from its point of release. 

What is the maximum height of the shot and how far from its point of release does this​ occur?
What is the​ shot's maximum horizontal​ distance, to the nearest tenth of a​ foot, or the distance of the​ throw?
From what height was the shot​ released?

 

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