A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives off the cliff and follows a parabolic path to reach the fish. a) The seagull's flight path is modelled by y=2x²-28x+90, where y is the height above the water and x is the distance from the cliff in metres. What was the depth of the fish? b) If the fish had been 2 metres deeper and 3 metres farther from the cliff edge, where should the seagull have entered and emerged from the water?
A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives off the cliff and follows a parabolic path to reach the fish. a) The seagull's flight path is modelled by y=2x²-28x+90, where y is the height above the water and x is the distance from the cliff in metres. What was the depth of the fish? b) If the fish had been 2 metres deeper and 3 metres farther from the cliff edge, where should the seagull have entered and emerged from the water?
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.2: Polynomial Functinos And Their Graphs
Problem 87E
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A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives off the cliff and follows a parabolic path to reach the fish.
a) The seagull's flight path is modelled by y=2x²-28x+90, where y is the height above the water and x is the distance from the cliff in metres. What was the depth of the fish?
b) If the fish had been 2 metres deeper and 3 metres farther from the cliff edge, where should the seagull have entered and emerged from the water?
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