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? Have you taken this opportunity to explore some of the following, as appropriate:O determine the x-intercepts of a quadratic relationin standard form by factoringO connect key features to the context of the "real-world"scenarioO determine the vertex of a quadratic relation usingits x-interceptsO select appropriate/efficient mathematical strategies tosolve problemsO determine the y-intercept of a quadratic relationO solve problems using algebraic techniquesO determine the x-intercepts of a quadratic relationO reflect upon accuracy/efficiency of a solution byconnecting algebraic solutions to graphical representationin vertex formO apply transformations to a quadratic relationO reflect upon accuracy/efficiency of a solution byconnecting a variety of algebraic solutionsO apply vertical stretches/compressions to solve theO communicate/explain your solution effectivelyproblem

The given equation of path is y=2x2-28x+90.…

Answered: A seagull sits atop a cliff and spies a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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?

Have you taken this opportunity to explore some of the following, as appropriate:
O determine the x-intercepts of a quadratic relation
in standard form by factoring
O connect key features to the context of the "real-world"
scenario
O determine the vertex of a quadratic relation using
its x-intercepts
O select appropriate/efficient mathematical strategies to
solve problems
O determine the y-intercept of a quadratic relation
O solve problems using algebraic techniques
O determine the x-intercepts of a quadratic relation
O reflect upon accuracy/efficiency of a solution by
connecting algebraic solutions to graphical representation
in vertex form
O apply transformations to a quadratic relation
O reflect upon accuracy/efficiency of a solution by
connecting a variety of algebraic solutions
O apply vertical stretches/compressions to solve the
O communicate/explain your solution effectively
problem

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