2.1 - Key Features of Quadratics

2.1 - Key Features of Quadratics

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 Blanks

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

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]

• $\left(-\infty,\ 2\right]$

• $\left[-2,\ \infty\right)$

• $\left(-\infty,\ \infty\right)$

Absolute Value

the magnitude of a real number without regard to its sign

Objectives

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

• Roots

• Y-intercept

• Vertex

• Maximum/Minimum

• Line of Symmetry

• Domain/Range

PRACTICE/ EXIT TICKET

Fill in the Blanks

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 Blanks

Does this graph have a maximum or minimum?

Fill in the Blanks

What is the line of symmetry?

Open Ended

How do you feel about identifying key characteristics on a graph of an absolute value and a quadratic function?