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Quadratic Key Characteristics for Application
Key Characteristics Quadratic Functions
10
Mathematics
11th Grade
12/12/2017

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Cards

Term

 

 

What key characteristic represents when an object is on the ground as it relates to the graphical representation for a quadratic function?

Definition

 

 

The x-coordinate for the roots, zeros or x-intercepts.

Term

 

 

What key characteristic represents when an object reaches the maximum height as it relates to the graphical representation for a quadratic function?

Definition

 

 

The x-coordinate for the vertex or

the x value for the axis of symmetry.

Term

 

 

What key characteristic represents the maximum height of an object as it relates to the graphical representation for a quadratic function?

Definition

 

 

The y-coordinate for the vertex

Term

 

 

What key characteristic represents where the beginning height of an object is before it is dropped or thrown as it relates to the graphical representation for a quadratic function?

Definition

 

 

The y-coordinate for the y-intercept.

Term

 

 

What key characteristic represents the starting time of an object before it is dropped or thrown as it relates to the graphical representation for a quadratic function?

Definition

 

 

The x-coordinate for the y-intercept. 

 

Starting time = 0 seconds

Term

 

How do you find the x-coordinate for the vertex of a quadratic if the quadratic is factorable?

Definition

 

 

After factoring the quadratic and solving for the roots, average the roots to find the midpoint between them.  

Term

 

 

 

How do you find the x-coordinate for the vertex of a quadratic if the quadratic is not factorable?

Definition

 

 

To find the x-coordinate you would need to solve x = -b/2a to obtain the x-coordinate for the vertex.

Term

 

 

How do you find the discriminant?

Definition

 

 

For a quadratic in standard form you simplify 

b2 - 4ac

Term

 

 

What two pieces of information does 

the discriminant provide?

Definition

 

 

If the discriminant is a perfect square the quadratic equation is factorable. 

 

If the discriminant is positive there are two real roots.

 

If the discriminant is zero there is one repeated root (still two roots).

 

If the discriminant is negative there are two imaginary roots.

Term

 

 

How do you find the roots of a quadratic if you cannot factor the quadratic?

Definition

 

 

Use the quadratic formula to find the roots, zeros,

x-intercepts, which are also the solutions for the equation.

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