The side view of a suspension bridge can be modelled by the equation f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres and f(x) is the depth in metres. a Plot the graph of the function. b Find the coordinates of the points where the graph crosses the x-axis. c Use these values to write down the equation of the axis of symmetry. Use part c to find the y-coordinate of the minimum. d e Describe, in this context, what the minimum point represents.
The side view of a suspension bridge can be modelled by the equation f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres and f(x) is the depth in metres. a Plot the graph of the function. b Find the coordinates of the points where the graph crosses the x-axis. c Use these values to write down the equation of the axis of symmetry. Use part c to find the y-coordinate of the minimum. d e Describe, in this context, what the minimum point represents.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![The side view of a suspension bridge can be modelled by the equation
f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres
and f(x) is the depth in metres.
a Plot the graph of the function.
b Find the coordinates of the points where the graph crosses the x-axis.
c Use these values to write down the equation of the axis of symmetry.
Use part c to find the y-coordinate of the minimum.
d
e Describe, in this context, what the minimum point represents.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff2ac1dee-77de-4417-92e6-8475efbb3d7d%2Fb262cc46-248b-4497-bde1-d01ad7b414dd%2F6nbk3c7_processed.png&w=3840&q=75)
Transcribed Image Text:The side view of a suspension bridge can be modelled by the equation
f(x) = 0.000972 2x² - 1.167x where x is the horizontal distance in metres
and f(x) is the depth in metres.
a Plot the graph of the function.
b Find the coordinates of the points where the graph crosses the x-axis.
c Use these values to write down the equation of the axis of symmetry.
Use part c to find the y-coordinate of the minimum.
d
e Describe, in this context, what the minimum point represents.
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