RWA#1: Unit M Concept 5 : Graphing Ellipses given equation.

1. Mathematical Equation:

• A curved line creating a close loop, where the total of the distance from the foci. The foci, creates the sum of the constant.
• A set of all points such that the sum of the distance from two points is a constant.

2. Description:

• Algebraically: (x-h)^2/a^2+(y-k)^2/b^2=1
• Graphically:
  
• key features: Standard Form- is the algebraically way to solve the ellipse.

Center: The center point will determine where the ellipse will be placed

                       2 vertices: These points are that will connect with center, and show what kind of ellipse it is

 

                       Major Axis: Depending on the minor, it will determine if it is skinny or fat.

                       Minor Axis: Depending on the major, it will determine if it is skinny or fat.

                       2foci: is the points that add up the two distance, which will have the same constant.

                       Eccentricity: measure how much the conic section deviates from being circular.

• foci affects it by giving points that will add up the distance to a constant that id shared by the points.

3.

 

As you can see, this building has the ellipse shape in the center. The creator this building created a living space for someone, that gives a round shape to the house. This modern style creates a relaxing vision toward others eyes.

          Knowing that ellipse are used in the real world, brings excitement towards to math, and real world objects. The real world consists a lot of mathematical equations, and graphs.

 

4. Reference:

http://www.antoninocardillo.com/projects.html

http://www.mathopenref.com/ellipse.html