This Presentation can help everyone !!

1. Parabola

2. Parabola

3. Parabola

4. Parabola

6. Parabola
or

7. Parabola
or

9. Parabola

10. Located on the Champ de Mars in Paris, France,
the Eiffel Tower is one of the most well known
structures in the world.
The Eiffel Tower was originally built as the
entrance arch for the World's Fair in 1889.
It is named after Gustave Eiffel, whose company
was in charge of the project.
Charles Léon Stephen Sauvestre (December 26,
1847 - 1919) was a French architect. He is notable
for being one of the architects contributing to the
design of the world-famous Eiffel Tower, built for
the 1889

21. Parabola

23. The Golden Gate Bridge is an iconic
American landmark. It is located in San
Francisco, California. It stretches over the San
Francisco bay's opening into the Pacific ocean.
The Golden Gate Bridge is the second longest
suspension bridge in the United States.
80,000 miles of wire help make up the
structure, along with 1,200,000 rivets. The
Golden Gate Bridge is also a great example of
a parabola because of its slightly rounded
shape. The Golden Gate bridge is not only a
symbol of California, it is also a symbol of the
United States.

24. “Why the name Golden Gate?”
The Golden Gate Strait is the entrance to
the San Francisco Bay from the Pacific
Ocean. The strait is approximately three-miles
long by one-mile wide with currents
ranging from 4.5 to 7.5 knots. It is generally
accepted that the strait was named
"Chrysopylae", or Golden Gate, by John C.
Fremont, Captain, topographical Engineers of
the U.S. Army circa 1846. It reminded him of
a harbor in Instanbul named Chrysoceras or
Golden Horn.

25. Total length: Including
approaches, 1.7 miles (8,981 feet or
2,737 m)
Middle span: 4,200 feet (1,966
m).
Width: 90 feet (27 m)
Clearance above the high
water (average): 220 feet (67 m)

26. Total weight when
built: 894,500 tons (811,500,000
kg)
Total weight today: 887,000
tons (804,700,000 kg). Weight
reduced because of new decking
material .

27. Total length: Including
approaches, 1.7 miles (8,981 feet or
2,737 m)
Middle span: 4,200 feet (1,966
m).
Width: 90 feet (27 m)
Clearance above the high
water (average): 220 feet (67 m)

28. Strauss was chief engineer in charge of
overall design and construction of the bridge
project. However, because he had little
understanding or experience with cable-suspension
designs, responsibility for much of
the engineering and architecture fell on other
experts. Strauss' initial design proposal (two
double cantilever spans linked by a central
suspension segment) was unacceptable from a
visual standpoint. The final graceful suspension
design was conceived and championed by New
York’s Manhattan Bridge designer Leon
Moisseiff.

29. For many years before the Golden
Gate Bridge was built, the only way to
get across San Francisco Bay was by
ferry, and by the early twentieth
century the Bay was clogged with
them. In the 1920s, engineer and
bridge-builder Joseph Strauss became
convinced that a bridge should be
constructed across the Golden Gate.

30. Who is the architect of Golden Date
Bridge?
The design and construction process
of the modern bridge of San Francisco
and California was monitored by a
famous architecture. Who is Joseph
Strauss, This great bridge project is
one of the great projects of the
Joseph Strauss and he feels proud
about that.

31. Parabolic structure of Golden Gate
Bridge

32. The main suspension cables between the
towers of the Golden Gate Bridge form a
parabola that can be modeled by the quadratic
function: Y = 0.000112x2 + 220
where x is the horizontal distance from the
middle of the bridge to the towers and y is the
vertical distance from the water level to the
bridge deck. The cables are connected to the
towers at points that are 5000 feet above the
road, and the road is about 220 feet above the
mean water level.

34. Details About Parabola.
Vertex: The vertex of a parabola is the point of
intersection of a parabola with its axis of symmetry.
I realized the vertex was when I was looking at the
graph, when the axis of symmetry and the parabola
met is where the vertex is. To find the vertex
without looking at a graph you could make a table
to determine the point of the axis of symmetry. The
equation is a maximum because the coefficient of
the squared term (.000112x2 ) is positive. The
vertex signifies the mid-point of the bridge. The
equation for the axis of symmetry is y = (x-h)
2. Where the vertex is where x = h.

35. Y-Intercept: The Y-Intercept is the y-coordinate
of a point where a graph
intersects the Y-axis. I looked at the
graph and I looked for the lowest point
on the Y-axis and was 220. I would
solve the equation for x=0. For the
Golden Gate Bridge it signifies the
height of the bridge over the water
underneath.

36. Discriminant: The Discriminant is the
value of b2 - 4ac in the quadratic
equation ax2 + bx+ c = 0. In the
equation for the Golden Gate Bridge
parabola b=0, a=0.000112, and c=220.
Because b^2-4ac is less than zero the
equation has no real solutions,
therefore it is not factorable over the
integers.

37. X-Intercept: There is no x-intercept
because the y-intercept is positive. You
factor the equation and solve for x.
Because the Golden Gate Bridge
parabola has no real solutions, you
cannot solve for x and that tells us that
there are no x-intercepts, if there were
x-intercepts in this case, this would
have signified that the bridge had fallen
down.

38. Questions??
Who is the architect
of Eiffel Tower
Answer: Stephen
Sauvestre

39. Questions??
Who is the architect
of Golden Gate Bridge
Answer: Joseph
Strauss

40. Bonus Questions??
What is the FULL
NAME of our Leader
Answer: Michelle
Argarin Laguinlin

41. Along a parabola life
like a rocket files, Mainly
in darkness, now and
then on a rainbow