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# Quadratic Functions in Architecture

Gateway Arch St Louis MO
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on 15 February 2013

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#### Transcript of Quadratic Functions in Architecture

St. Louis , Missouri Gateway Arch Interesting Facts about
the Gateway Arch One of the most popular attractions in the U.S.
It is apart of the Jefferson National Expansion Memorial.
It is the tallest national monument in the U.S
For its construction they used approximately 900 tons of stainless steel
It weighs about 17,246 tons
Inside the arch there is an observation room, where you can see the views of St. Louis Results X-Intercept Comparisons
The X- Intercepts I found were (9.30,0) and (-8.91,0)
The actual X-intercepts were (8.9, 0) and (-8,5)
Comparing these two points, I can say that the X-intercepts were somewhat close. They are not exact, but they are a good estimate.
Axis of Symmetry
The Axis of symmetry I found was x= 0.20
The actual axis of symmetry of the arch is x=0
Comparing these two numbers together, my axis of symmetry was really close to the actual axis of symmetry. Works Cited Quadratic Functions in Architecture Results Vertex
The vertex I received from my calculations was, (0.20, 34.0).
The actual vertex was (0,34)
My calculations were very close and the y value I found for the vertex was the same number for the actual y value in the vertex.
Coordinates of another point
I chose another point to substitute into my equation, I used the coordinate point ( 3,31)
When I solved the problem my answer was
31= 30.79
These two numbers are only 0.20 units apart from each other. Conclusion I do believe my Quadratic regression was a good estimation of the Gateway Arch, because from the work I did most of my answers were very close and a good estimate of the actual value. The differences between the actual values and the ones I found, were very little, most were 0.20 or 1 unit apart. Conclusion Is the Gateway Arch a true parabola? The Gateway Arch is a true parabola, even though the points were not exact they were very close so I can conclude the Gateway Arch is a true parabola. Gateway Arch Actual Size: 630 ft or 192 m
Scale: 1 cm:27.4 m . Quadratic Functions in Architecture CountyWebsite. "Gateway Arch." St. Louis County and City Website. CountyWebsite.com, 2013. Web. 13 Feb. 2013. <http://www.stlouiscountywebsite.com/>.
Oakley, Jamesyn. "The St. Louis Gateway Arch- 20 Interesting Facts." Yahoo! Voices. Ed. Yahoo! Yahoo!, 2013. Web. 9 Feb. 2013. <http://voices.yahoo.com>.
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