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ANSWER:

Quadratic Funtion is usually used in a situation that involves arches such as suspension bridges, tunnels and a path of the rise and the fall of a ball.

When you express this funciton algebraically, it has the highest degree of 2.  Parent function of this function is: 

 

 

 

 

 

Also, there are three different ways to express this function algebraically: standard form, vertex form and factored form.

 

Standard Form

Vertex Form

Factored Form

Zero shows whether the graph intersects or touches x-axis.  Coordinates of zeros can be determined by using Quadratic Equation.  And the number of zeros can be determined by using Discriminant.

・QUADRATIC EQUATION・

・DISCRIMINANT・

When you express this function in Table of Values, the second difference is always constant.  

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