Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x seconds after Antoine threw it, is modeled by: h(x)=-2x² + 4x + 16. The maximum of the ball will reach 20 feet high after it travels a horizontal distance of 8 ft. Will the ball reach the dog's mouth if the dog is 15 feet away and doesn't move at all? Explain your reasoning. 69

Elementary Algebra
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ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter10: Quadratic Equations
Section10.5: Graphing Quadratic Equations
Problem 10.108TI: A toy rocket shot upward from the ground at a rate of 208 ft/sec has the quadratic equation of...
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Antoine stands on a balcony and throws a ball to his dog, who is at
ground level. The ball's height (in meters above the ground), x seconds
after Antoine threw it, is modeled by: h(x)=-2x² + 4x + 16. The maximum
of the ball will reach 20 feet high after it travels a horizontal distance of 8
ft. Will the ball reach the dog's mouth if the dog is 15 feet away and
doesn't move at all? Explain your reasoning.
8
15 ft.
Transcribed Image Text:Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x seconds after Antoine threw it, is modeled by: h(x)=-2x² + 4x + 16. The maximum of the ball will reach 20 feet high after it travels a horizontal distance of 8 ft. Will the ball reach the dog's mouth if the dog is 15 feet away and doesn't move at all? Explain your reasoning. 8 15 ft.
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