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Arc de Triomphe
Parabola- Internet
Parabola is curving towards the negative y-axis

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Gateshead Millennium Bridge in the United Kingdom
Parabola- internet
A parabola is the set of all points in the plane whose distance to a fixed point, called the focus, equals its distance to a fixed line, called the directrix

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McDonald's
Parabola
Internet
The parabola is facing downward therefore the leading coefficient is negative

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circle bike wheel google images the radius of the circle is half of the diameter.

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Doughnut
Circle - the each point on the circle is equal distance from the center of the circle
source - internet

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Guitar, circle - internet.

The space below the strings is a circle. The set of all points in a plane that are a constant distance (radius) from a fixed point (center). To identify if the conic section is a circle, x and y will both be squared ad the coefficients on them will be the same, including the sign.

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St Louis, Missouri
St Louis Arch
parabola
wikipedia
The focus and directrix are related as the are equidistant from the center of the parabola

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Golden Gate Bridge- San Francisco, California
Parabola- Internet
On a graph, a parabola will never cross the directrix.
A parabola can also only have one squared term.

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Guangzhou Building in China
Circle
Google
The points from the edge of the circle to the middle are all equidistant because a circle's radius is the same from the center to all points on the outer part that makes up the circle.

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GCHQ- Government Communications Headquarters in the U.K.
Circle-Internet
Each point on the circle has the same distance, and radius from the center.

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Millennium Force
Parabola
Google Images
The focus and directrix are related as they are both equal distance from the center of the parabola.

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Ellipse of Verona
Ellipse
Google
The sum of the distances between a point on the curve and two fixed points is the same.

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Kansas City Public Library
Parabola-Internet
Either the x or the y in the equation must be squared, when x is positive it faces up and faces down when negative, if the y is the squared term when it is positive it faces right and faces left when negative.

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Al Dar Headquarters, Abu Dhabi
Circle-internet
A circle is a set of points in a plane that are all a constant distance from the center.

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London Eye in London England

Circle - Internet

A flat round plain in which all the boundary points are equal distance from one fixed point.

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Kenan Crib and Barn(Dysart, Iowa)
Iowa Barn Foundation
Circle
Like other circles each point on the circle is equal distance to the center.

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All-State Barn Tour 2014-Iowa Barn Foundation

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The Iowa Barn Foundation is dedicated to preserving Iowa's rural agricultural buildings by giving barn tours and raising money.

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A trashcan from Mr.Lindsey's room
Circle
Every point on the circle is equidistant from the center.

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Church of the Transfiguration-Nigeria
Parabola- internet
A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to it's side.

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The Pont du Gard Aqueduct in Vers-Pont-du-Gard, France

Parabola - internet

If the coefficient of the squared term is positive, the vertex will be the lowest point on the graph

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Aqueduct of Segovia

Parabola- Internet

Every Parabola has a line of symmetry. If the vertex is at h,k (is facing either up or down) then the line of symmetry is given by x=h. The Parabolas in this picture share the same line of symmetry of the parabola they are on top of.

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National Center For Performing Arts in China
Ellipse- internet
The length of major axis = 2a = sum focal radii

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McDonnell Planetarium at St. Louis Science Center

Hyperbola - Internet

Like a parabola, but reflected around an axis.

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Twin Arch 138 ~ Ichinomiya City, Japan
Parabola - Google
If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

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Gateway Arch in St. Louis, Missouri

Parabola - internet

The distance from any point on the parabola, P, to the focus is equal to the shortest distance from P to the directrix.

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Oceanographic building in Valencia, Spain
Parabola- Internet
The vertex in a parabola is the midpoint between the focus and the directrix.

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Tycho Brahe Planetarium in Copenhagen, Denmark
Ellipse - Internet
The center of the ellipse is the midpoint of the vertical and horizontal axes