Quadratic Function Graph Characteristics

Quadratic equations take the shape of a _______ when graphed.

• parabola

• straight line

• snaked line

• elliptical

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

Using your calculator, graph y = -3x² + 6x - 5 and identify the max or min.

• Max: (1, -2)

• Min: (1, -2)

• Max: (-2, 1)

• Min: (-2, 1)

Does the following graph have a maximum or minimum.

• Maximum

• Minimum

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

f

c

b

h

Vertex (5, 0)

One Zero Value

Vertex (0, 5)

Minimum

Axis of Symmetry: x = 5

Maximum

No Zero Value

Axis of Symmetry: x = 0

• x = -4

• (-3, 0)

• (-1, -4)

• (0, -3)

• x = -1

• (-4, -1)

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

e

a

f

g

d

Axis of Symmetry: x = 0

Vertex (-4, 1)

Minimum

Maximum

Axis of Symmetry: x = -4

Zero smaller value

Zero larger value

Vertex (1, -4)

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

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

e

a

h

f

b

Zero smaller value

Vertex (-4, 2)

Axis of Symmetry: x = -9

Zero larger value

Vertex (0, -9)

Minimum

Maximum

Axis of Symmetry: x = 0

y=4x^2 Select the 2 correct descriptions.

• Opens up

• Opens down

• Narrower than parent graph (stretch)

• Wider than parent graph (compression)