1. Parabola

2. Parabola 3. Parabola 4. Parabola 5. Parabolaor 6. Parabolaor 7. Parabola 8. Located on the Champ de Mars in Paris, France,the Eiffel Tower is one of the most well knownstructures in the world.The Eiffel Tower was originally built as theentrance arch for the World's Fair in 1889.It is named after Gustave Eiffel, whose companywas in charge of the project.Charles Lon Stephen Sauvestre (December 26,1847 - 1919) was a French architect. He is notablefor being one of the architects contributing to thedesign of the world-famous Eiffel Tower, built forthe 1889 9. Parabola 10. The Golden Gate Bridge is an iconicAmerican landmark. It is located in SanFrancisco, California. It stretches over the SanFrancisco bay's opening into the Pacific ocean.The Golden Gate Bridge is the second longestsuspension bridge in the United States.80,000 miles of wire help make up thestructure, along with 1,200,000 rivets. TheGolden Gate Bridge is also a great example ofa parabola because of its slightly roundedshape. The Golden Gate bridge is not only asymbol of California, it is also a symbol of theUnited States. 11. Why the name Golden Gate?The Golden Gate Strait is the entrance tothe San Francisco Bay from the PacificOcean. The strait is approximately three-mileslong by one-mile wide with currentsranging from 4.5 to 7.5 knots. It is generallyaccepted that the strait was named"Chrysopylae", or Golden Gate, by John C.Fremont, Captain, topographical Engineers ofthe U.S. Army circa 1846. It reminded him ofa harbor in Instanbul named Chrysoceras orGolden Horn. 12. Total length: Includingapproaches, 1.7 miles (8,981 feet or2,737 m)Middle span: 4,200 feet (1,966m).Width: 90 feet (27 m)Clearance above the highwater (average): 220 feet (67 m) 13. Total weight whenbuilt: 894,500 tons (811,500,000kg)Total weight today: 887,000tons (804,700,000 kg). Weightreduced because of new deckingmaterial . 14. Total length: Includingapproaches, 1.7 miles (8,981 feet or2,737 m)Middle span: 4,200 feet (1,966m).Width: 90 feet (27 m)Clearance above the highwater (average): 220 feet (67 m) 15. Strauss was chief engineer in charge ofoverall design and construction of the bridgeproject. However, because he had littleunderstanding or experience with cable-suspensiondesigns, responsibility for much ofthe engineering and architecture fell on otherexperts. Strauss' initial design proposal (twodouble cantilever spans linked by a centralsuspension segment) was unacceptable from avisual standpoint. The final graceful suspensiondesign was conceived and championed by NewYorks Manhattan Bridge designer LeonMoisseiff. 16. For many years before the GoldenGate Bridge was built, the only way toget across San Francisco Bay was byferry, and by the early twentiethcentury the Bay was clogged withthem. In the 1920s, engineer andbridge-builder Joseph Strauss becameconvinced that a bridge should beconstructed across the Golden Gate. 17. Who is the architect of Golden DateBridge?The design and construction processof the modern bridge of San Franciscoand California was monitored by afamous architecture. Who is JosephStrauss, This great bridge project isone of the great projects of theJoseph Strauss and he feels proudabout that. 18. Parabolic structure of Golden GateBridge 19. The main suspension cables between thetowers of the Golden Gate Bridge form aparabola that can be modeled by the quadraticfunction: Y = 0.000112x2 + 220where x is the horizontal distance from themiddle of the bridge to the towers and y is thevertical distance from the water level to thebridge deck. The cables are connected to thetowers at points that are 5000 feet above theroad, and the road is about 220 feet above themean water level. 20. Details About Parabola.Vertex: The vertex of a parabola is the point ofintersection of a parabola with its axis of symmetry.I realized the vertex was when I was looking at thegraph, when the axis of symmetry and the parabolamet is where the vertex is. To find the vertexwithout looking at a graph you could make a tableto determine the point of the axis of symmetry. Theequation is a maximum because the coefficient ofthe squared term (.000112x2 ) is positive. Thevertex signifies the mid-point of the bridge. Theequation for the axis of symmetry is y = (x-h)2. Where the vertex is where x = h. 21. Y-Intercept: The Y-Intercept is the y-coordinateof a point where a graphintersects the Y-axis. I looked at thegraph and I looked for the lowest pointon the Y-axis and was 220. I wouldsolve the equation for x=0. For theGolden Gate Bridge it signifies theheight of the bridge over the waterunderneath. 22. Discriminant: The Discriminant is thevalue of b2 - 4ac in the quadraticequation ax2 + bx+ c = 0. In theequation for the Golden Gate Bridgeparabola b=0, a=0.000112, and c=220.Because b^2-4ac is less than zero theequation has no real solutions,therefore it is not factorable over theintegers. 23. X-Intercept: There is no x-interceptbecause the y-intercept is positive. Youfactor the equation and solve for x.Because the Golden Gate Bridgeparabola has no real solutions, youcannot solve for x and that tells us thatthere are no x-intercepts, if there werex-intercepts in this case, this wouldhave signified that the bridge had fallendown. 24. Questions??Who is the architectof Eiffel TowerAnswer: StephenSauvestre 25. Questions??Who is the architectof Golden Gate BridgeAnswer: JosephStrauss 26. Bonus Questions??What is the FULLNAME of our LeaderAnswer: MichelleArgarin Laguinlin 27. Along a parabola lifelike a rocket files, Mainlyin darkness, now andthen on a rainbow