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 30 30°, its height, f left parenthesis x right parenthesis comma f(x), in feet, can be modeled by f left parenthesis x right parenthesis equals negative 0.01 x squared plus 0.6 x plus 5.7 comma f(x)=−0.01x2+0.6x+5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is , which occurs feet from the point of release.
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 30 30°, its height, f left parenthesis x right parenthesis comma f(x), in feet, can be modeled by f left parenthesis x right parenthesis equals negative 0.01 x squared plus 0.6 x plus 5.7 comma f(x)=−0.01x2+0.6x+5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph What is the maximum height of the shot and how far from its point of release does this occur? The maximum height is , which occurs feet from the point of release.
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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Question
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
30
30°, its height,
f left parenthesis x right parenthesis comma
f(x), in feet, can be modeled by
f left parenthesis x right parenthesis equals negative 0.01 x squared plus 0.6 x plus 5.7 comma
f(x)=−0.01x2+0.6x+5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and verify your answers using the graph
What is the maximum height of the shot and how far from its point of release does this occur?
The maximum height is
, which occurs
feet from the point of release.
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Given :
f(x)=−0.01x2+0.6x+5.7
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What is the maximum height of the shot and how far from its point of release does this occur
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