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25 20 15 10 10 15 20 25 30 35 40 45 50 55 L. Use the description to help you label the 3 coordinates on the graph. 2. Han wants to model the shape of the arch with the graph of a function, and he chooses H(x) = x(52- x), where H(x) is the height in meters above a point r %3D meters along the base of the arch from the left end. 1. For the r-coordinates of the three points, what are the corresponding points on the graph of H? 2. What aspects of the shape does Han's function model well, and what parts does it not model well? 3. Compare the height of Han's graph with the height of the Hulme Arch Bridge. How can you change the outputs of H to make it fit better? What would the revised version of H(x) be?

25 20 15 10 10 15 20 25 30 35 40 45 50 55 L. Use the description to help you label the 3 coordinates on the graph. 2. Han wants to model the shape of the arch with the graph of a function, and he chooses H(x) = x(52- x), where H(x) is the height in meters above a point r %3D meters along the base of the arch from the left end. 1. For the r-coordinates of the three points, what are the corresponding points on the graph of H? 2. What aspects of the shape does Han's function model well, and what parts does it not model well? 3. Compare the height of Han's graph with the height of the Hulme Arch Bridge. How can you change the outputs of H to make it fit better? What would the revised version of H(x) be?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Watch 1.8 and 1.9. 20 15 10 10 15 20 25 30 35 40 45 50 55 1. Use the description to help you label the 3 coordinates on the graph. 2. Han wants to model the shape of the arch with the graph of a function, and he chooses H(x) = x(52- x), where H(x) is the height in meters above a point r meters along the base of the arch from the left end. 1. For the x-coordinates of the three points, what are the corresponding points on the graph of H? 2. What aspects of the shape does Han's function model well, and what parts does it not model well? 3. Compare the height of Han's graph with the height of the Hulme Arch Bridge. How can you change the outputs of H to make it fit better? What would the revised version of H(x) be? 25
Transcribed Image Text:Watch 1.8 and 1.9. 20 15 10 10 15 20 25 30 35 40 45 50 55 1. Use the description to help you label the 3 coordinates on the graph. 2. Han wants to model the shape of the arch with the graph of a function, and he chooses H(x) = x(52- x), where H(x) is the height in meters above a point r meters along the base of the arch from the left end. 1. For the x-coordinates of the three points, what are the corresponding points on the graph of H? 2. What aspects of the shape does Han's function model well, and what parts does it not model well? 3. Compare the height of Han's graph with the height of the Hulme Arch Bridge. How can you change the outputs of H to make it fit better? What would the revised version of H(x) be? 25
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