Shoshana-Arc

= __**Arc de Triomphe**__ =

Building began in 1808 on the Arc de Triomphe and was inaugurated in 1836. It is one of the most famous monuments in Paris and stands in the center of the Place Charles de Gaulle, at the western end of the Champs-Elysees. It honors those who fought and died for France in the French Revolutionary and the Napoleonis wars. Beneath its vault lies the Tomb of the Unknown Soldier from World War I.

You can go to the top of the arc but it is 284 steps to the “attic”of the arc and another 46 to the very top. From the top you have a 360 degree view of Paris, including the Eiffel Tower.

“The monument is 164 ft in height, 148 ft wide and 72 ft deep. It is the second largest triumphal arch existence triumphal arch”



//Due to lack of information (google didn't have it!), I was unable to find the exact info of the arc!//
 * Graph of the Parabola**


 * Formulas**
 * Vertex form:** y-164=-0.0299(x)^2
 * Standard form:** y=-0.0299x^2+164
 * Factored Form:** y=-0.0299(x-74)(x+74)

The **vertex** of this parabola is 164, I found it by using Excel. Without looking at the graph you could just figure out how tall the monument is or look at the formulas. It is a positive number, which makes it a **maximum.** That mean the arc opens downwards. The **y-intercept** of the parabola is also the vertex. The y-intercept signify's middle of the arc. The **discriminant** of the parabola is 0^2-4x-0.0299x164! The **x-intercepts** are (74,0) and (-74,0), there are two! The x-intercept signify's the bottom of the arc. The **solution** for the parabola is y=10 therefore, 10=-0.0299x^2+164 To use the quadratic formula, the left side must be 0, so you would subtract 10 from both sides. 0=-0.0299x^2+154 Now you use the quadratic formula to solve for x: (x=-71.767) (x=71.767)
 * Information:**

Parabolas have to do with a cone because a **conic section** "is a curve obtained by intersecting a cone with a plane." A type of conic section is a parabola.


 * Resources:**
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 * http://www.google.com/search?client=safari&rls=en&q=arc+de+triomphe&oe=UTF-8&um=1&ie=UTF-8&tbm=isch&source=og&sa=N&hl=en&tab=wi&biw=1047&bih=708
 * http://en.wikipedia.org/wiki/Conic_section