(Geogebra will load here. Please be patient as it takes a short time for the Java to load!)
Move the sliders to position the parabola over one of the red fountains.Let's go...
Κυριακή 9 Ιανουαρίου 2011
Find the equation of the quadratic using Geogebra
(Geogebra will load here. Please be patient as it takes a short time for the Java to load!)
Move the sliders to position the parabola over one of the red fountains.Let's go...
Find the equation of the quadratic function
Using the excel file, solve the exercises below:
Find he equation of the quadratic functions:
Using Geogebra, make sure that your solutions are right!
Capture your results and save it as image (jpg file)!!!
Πέμπτη 6 Ιανουαρίου 2011
World War II Memorial
The World War II Memorial in Washington D.C.honors the 16 million who served
in the armed forces of the United States during the war and the more than 400,000
who died. It is particularly beautiful at night as the following photos show.
The fountains are also an excellent example to be used in mathematics
as you will see the Geogebra application below:
Click on the fountain to analyze the parabola
of the dancing water
in the armed forces of the United States during the war and the more than 400,000
who died. It is particularly beautiful at night as the following photos show.
The fountains are also an excellent example to be used in mathematics
as you will see the Geogebra application below:
Click on the fountain to analyze the parabola
of the dancing water
Gaudi's parabolic arches
These are catenary arches!
Under the roof of Gaudí's Casa Milá, Barcelona, Spain
The catenary is the shape of a hanging flexible chain or cable when supported at its ends and acted upon by a uniform gravitational force
(its own weight).
Don't confuse! These are not parabolic arches!
Arches in Casa Mila, by Gaudi too!
The beloved.... parabola of Gaudi
The peaceful area inside the gardens of the Parc Güell
in Barcelona
and the Gaudi's beloved parabola .
Τρίτη 4 Ιανουαρίου 2011
Parabola Monument in Barcelona
The Fossar de les Moreres (Moreres Cemetery) is a memorial plaza in Barcelona (Catalonia, Spain), adjacent to the basilica of Santa Maria del Mar. The plaza was built over a cemetery where defenders of the city were buried following the Siege of Barcelona at the end of the War of the Spanish Succession in 1714.
The plaza retains its everyday use as a public space, but also prominently features a memorial to the fallen Catalans of the war, with a torch of eternal flame and a heroic poem by Frederic Soler, "El Fossar de les Moreres". On 11th September, in this place, the Catalan people celebrate their National Day. This historical date refers back to September 11 in 1714, when Barcelona, following a 13-month siege, surrendered to the Castilian and French soldiers.
The Monument
Look at the monument!
Keep in mind that it has the shape of a parabola!
Which of the following functions corresponds to this parabola?
Look at:
- Y = x2 + 2x – 4
- Y= - x2 + 7x
- Y= -x2 + 4
Look at:
Δευτέρα 3 Ιανουαρίου 2011
Positive - negative quadratic - Vertex
positive quadratic y = x2 | negative quadratic y = - x2 |
  |  |
| If the coefficient of x2 is positive the curve looks like the mouth of a smiling child. The vertex (0,0) is down. | If the coefficient of x2 is negative the curve looks like the mouth of a joyless child.The vertex (0,0) is up. |
Source: The purplemath
The meaning of a in a quadratic
The general form of a quadratic is:
y = ax2 + bx + c.
For graphing, the leading coefficient "a" indicates how "fat" or how "skinny" the parabola will be.
For | a | > 1 (such as a = 3 or a = –4), the parabola will be "skinny", because it grows more quickly (three times as fast or four times as fast, respectively (in the case of our sample values of a).
For | a | < 1 (such as a = 1/3 or a = –1/4 ), the parabola will be "fat", because it grows more slowly (one-third as fast or one-fourth as fast, respectively (in the case of our sample values of a).
Also, if a is negative, then the parabola is upside-down.
You can see these trends when you look at how the curve y = ax2 moves as "a" changes.
You can see these trends when you look at how the curve y = ax2 moves as "a" changes.
Click on the adjacent image (graph) -->
Source: The purplemath
2 straight lines
Let's plot 2 straight lines:
Look at the Geogebra application below.
Write your remarks?
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- y=3x+b
- y=-3x+b
Look at the Geogebra application below.
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