Exploration with Factoring and Quadratic Graphs

What are the x- intercepts?

• x= 0 and x= -4

• x= 0 and x= 4

• y= 0

• x= 2

Use the graph to determine the solutions.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined

What is another name for the x-intercepts and solutions of a quadratic?

• y-intercept

• Zeros

• x-axis

• They don't have another name

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

What is the domain and the range for the graph?

• Domain : -2 ≤ x ≤ 2
  Range : 0 ≤ y ≤ 4

• Domain : 0 ≤ x ≤ 4
  Range : -2 ≤ y ≤ 2

• Domain : All real #s
  Range : y ≤ 4

• Domain : -2 ≤ x ≤ 2
  Range : y ≤ 4

What is the vertex?

• (5,2)

• (2,5)

• (-2,5)

• (-5,2)

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

What is the equation for axis of symmetry?

• y = 3

• x = 3

• x = 5

• x = 1

Name the Axis of Symmetry

• x = 1

• x = 0