Quadratic Graphs Characteristics

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

Tags

CCSS.HSF-IF.C.7A

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.8.F.A.1

CCSS.HSF.IF.B.5

Does the following graph have a maximum or minimum.

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Which graph best represents a quadratic function that has no zeros?

• Graph A

• Graph B

• Graph C

• Graph D

Tags

CCSS.HSF-IF.C.7A

• x = -4

• (-3, 0)

• (-1, -4)

• (0, -3)

• x = -1

• (-4, -1)

Tags

CCSS.HSF-IF.C.7A

Label the graph. Match the zero smaller and larger values by placing the box on the graph next to what it represents.

f

g

h

c

Maximum

Axis of Symmetry: x = 5

Axis of Symmetry: x = 2

No zero values

Vertex (5, 2)

Vertex (2, 5)

Minimum

One zero value

Tags

CCSS.HSF-IF.C.7A

see image for question.

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.7A

Label the graph to the right with each of the following characteristics

c

a

Vertex

Solution

Minimum

Tags

CCSS.HSF-IF.C.7A

Select all the characteristics that describe the quadratic

• minimum at -3

• y-intercept: 12

• maximum at -3

• domain: all real numbers

• range all real numbers

Tags

CCSS.HSF-IF.C.7A