3.4 - Key Features of Quadratics

3.3 - Key Features of Quadratics

​

​WHICH ONE DOESNT BELONG?




5mins)

FORMS OF THE QUADRATIC FUNCTION

THE NEXT SLIDE SHOWS THE KEY INFORMATION THAT EACH FORM OF QUADRATICS TELLS US.

Fill in your answers on your paper.



(10 mins)

​Key features

What does a quadratic function look like?

Multiple Choice

Does this parabola have a minimum or a maximum?

• Minimum

• Maximum

Multiple Choice

Where is the vertex of this parabola?

• (1,3)

• (-1,3)

• (3,1)

• (3, -1)

• What do you notice about the roots of this parabola?

  
  

  *it is where it crosses the x- axis*

• What are the roots of this parabola?

  
  

  x= -3 and x = 5

• Where is the vertex?

  
  

  (1, -4) 

  
  

  
  

Multiple Select

What are the root(s) of this parabola?

• x= 0

• x = 1

• x = 4

• x = -7

Multiple Choice

Does this parabola have a maximum or minimum?

• Maximum

• Minimum

Fill in the Blank

What is the vertex of this parabola? *Do not forget the parenthesis*

Multiple Choice

What is the line of symmetry?

• x = 1

• y = 1

• x = -1

• y = - 4

​10 mins

LABEL THE PARABOLA

Domain & Range
when a<0

• Domain: all the x-values

• What is the domain of this parabola?

  
  

• 
  

  
  

• Range: all the y-values

• What is the range of this parabola?

• 
  

  
  

Domain & Range when a>0

• Domain: all the x-values

• What is the domain of this parabola?

• 
  

• Range: all the y-values

• What is the range of this parabola?

• 
  

  
  

Multiple Choice

What is the domain of this parabola?

• [4, $$\infty$$ )

• $$\left(-\infty,\infty\right)$$

• Does not have a domain

• [-2, 2]

Multiple Choice

What is the range of this parabola?

• [-4 , $$\infty$$ )

• $$\left(-\infty,\ \infty\right)$$

• $$\left[4,\ \infty\right)$$

• [-2, 2]

Multiple Choice

What is the range of the parabola?

• $$\left[2,\ \infty\right)$$

• $$\left(-\infty,\ 2\right]$$

• $$\left(-\infty,\ \infty\right)$$

• [-2, 2]

Multiple Choice

What is the domain of this parabola?

• [-2 , 2]

• $$\left(-\infty,\ 2\right]$$

• $$\left[-2,\ \infty\right)$$

• $$\left(-\infty,\ \infty\right)$$

KEY FEATURES EXAMPLE

Follow along at desmos.com

Open desmos graphing calculator

https://www.desmos.com/calculator

​EXAMPLE;
USE DESMOS

Graph each function and complete the Key features.


(20 mins)

​

​You do

CHECK

• I am able to identify the following on graphs of quadratic functions:

• Roots

• Y-intercept

• Vertex

• Maximum/Minimum

• Line of Symmetry

• Domain/Range

Poll

• I am able to identify the following on graphs of quadratic functions:

• Roots

• Y-intercept

• Vertex

• Maximum/Minimum

• Line of Symmetry

• Domain/Range

• NO

• YES

• GETTING THERE

• NOT THERE YET

PRACTICE/ EXIT TICKET

Fill in the Blank

Where is the vertex?

(

,

)

Multiple Select

What are the roots?

• x = 0

• y = 0

• x = -4

• x = 4

• y = -4

Multiple Select

What is the y-intercept?

• x = 0

• y = 0

• x = -4

• x = 4

• y = -4

Fill in the Blank

Does this graph have a maximum or minimum?

Fill in the Blank

What is the line of symmetry?

=

Open Ended

How do you feel about identifying key characteristics on a graph of a quadratic function?