The height y (in feet) of a ball thrown by a child is 1 -x² + 2x + 3 16 Y = - where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.1: Quadratic Functions
Problem 71E: Height of a basketball The path of a basketball thrown from the free throw line can be modeled by...
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The height y (in feet) of a ball thrown by a child is
1
2
-x² + 2x + 3
16
y =
where x is the horizontal distance in feet from the point at which the ball is thrown.
(a) How high is the ball when it leaves the child's hand?
feet
(b) What is the maximum height of the ball?
feet
(c) How far from the child does the ball strike the ground?
feet
Transcribed Image Text:The height y (in feet) of a ball thrown by a child is 1 2 -x² + 2x + 3 16 y = where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand? feet (b) What is the maximum height of the ball? feet (c) How far from the child does the ball strike the ground? feet
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