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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