Quadratic Graphs & Characteristics

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Tags

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.A.2

Does the following graph have a maximum or minimum.

• Maximum
• Minimum

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Does this parabola have a minimum or maximum and what is its value?

• minimum: 2
• maximum: 2
• minimum: 5
• maximum: 5

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Use the picture to find the vertex and axis of symmetry

• Vertex (3,8) Axis x = 3

• Vertex (3,8) Axis y = 3

• Vertex (8,3) Axis x = 3

• Vertex (8,3) Axis y = 3

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

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

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What are the solutions to the parabola?

• (5, 0), (2, 0)

• (0, -10)

• (0, -5), 90, 2)

• (- 5, 0), (2, 0)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.11

What is the domain of the function?
*Hint: Domain is the set of all x-values included in the function.

• x≥3
• x≤3
• All real numbers
• -1≤x≤5

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7