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8/6/2019 Team Presentation 4
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Quadratic Functions
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Project Overview and Objectives
Explain where quadratic functions came from
Explain how quadratic functions work in every
day uses. Give examples of quadratic functions in every
day uses
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Why Should we Learn Quadratic Functions
Quadratic functions are useful in every day situations
especially business.
We can use Quadratic functions to help predict
Supply and demand
We can use Quadratic functions to predict future
behavior
We can use Quadratic functions to helpmaximize profits
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Quadratic Equation
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History Of Quadratic Functions Quadratic comes from the Latin word quadratum
meaning square.(http://www.etymonline.com/index.php?term=quadratic,n.d.)
The earliest evidence of quadratic equations werefound on clay tablets in ancient Babylon during the
1800 BC to 1600 BC. Also on these tablets, it gave the
early method for answering the problems.
(http://www.mytutoronline.com/history-of-quadratic-equation,n.d.)
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Properties of Quadratic Functions
The graph of a quadratic function is called parabola.
If a >, the parabola opens upward; if a
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Basics ofQuadratic Equations
The basic use of a quadratic equation is to find thecurve on a Cartesian grid.
The primary use is to find the curve that objects takewhen flying through the air.
It is also used to design any object that has a curve andany specific curved shape needed for a project.
(http://www.mathworksheetscenter.com/mathtips/linearequations.html n.d)
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Interesting Facts About Quadratic
Equations
We owe the Babylonians, the modern idea of
angles, including the way a circle is divided up
into 360 degrees.
We also owe them for the not so pleasant
invention of the taxman. (Budd &Sangwin,
101 uses ofQuadratic Equations, 2004)
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More Interesting Facts About
Quadratic Equations
Newton, who worked in optics, discovered
using mirrors in telescopes instead of lensesin order to bring all points into focus.
This was done through the use of mirrors inthe shape of parabola. (Budd &Sangwin, 101
uses ofQuadratic Equations, 2004)
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OtherWays inWhich Quadratic Equations
are Used Newton also based his laws of motion on Quadratic
Equations by defining the acceleration of objects andforces that act upon them
Quadratic Equations are used by car makers todetermine how much and what type of breaks areneeded to stop a car from going at various speeds
Police officer investigates a car accident scene to
determine what velocities the cars were travelingwhen the collision occurred (www.mathworksheetcenter.com,n.d.)
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Forensics Video Using Quadratic function
(media4math
http://www.youtub
e.com/watch?v=v-
Z2-jxCqVw ,2008)
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How Scientists Use Quadratic Formulas
Scientist use a simple quadratic formula relatingto time and distance also allows in which objectsmoves under gravity
Did you know that quadratic equation is used tostudy growth of bacteria in an organism?
They also use quadratic equations to describe
how planets moved around the sun (Budd &Sangwin,101 uses ofQuadratic Equations, 2004)
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Everyday Uses of Quadratic Equations
Calculating stopping distance and speed of
vehicles.
Playing sports like tennis, basketball, bowling,ect.
Electronic items such as tvs, radio, computers
Weather predicting Money, taxes, retirement savings, loans
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Questions?
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ResourcesBudd, C. and C. Sangwin. (May, 2004 1). 101 Uses of a Quadratic Equation. Retrieved June 26, 2011, from
http://plus.maths.org/content/os/issue30/features/quadratic/index
History ofQuadratic equation and quadratic function retrieved from http://www.mytutoronline.com/history-
of-quadratic-equation
Media4mat (2008,Sept 23)Algebra Applications: Quadratic Functions [Video file] retrieved from
http://www.youtube.com/watch?v=v-Z2-jxCqVw
Online Etymology Dictionary retrieved from http://www.etymonline.com/index.php?term=quadratic
Spector, L. (2001-2011). The Math Page. Retrieved from
http://www.themathpage.com/alg/quadratic-equations.htm
Stapel, Elizabeth. The Quadratic Formula Explained. Retrieved from
http://www.purplemath.com/modules/quadform.htm
Weisstein, Eric W. "Quadratic Equation." From MathWorld--A Wolfram Web Resource. Retrieved
from http://mathworld.wolfram.com/QuadraticEquation.html
Why Should We Care about Quadratic Equations (n.d.) retrieved from
http://www.mathworksheetscenter.com/mathtips/quadraticequation.html