Characteristics of Graph of Quadratic Functions

What is a parabola?

• The straight graph of a quadratic function

• The circular graph of a quadratic function

• The V-shaped graph of a quadratic function

• The U-shaped graph of a quadratic function

Tags

CCSS.HSF-IF.C.7A

Using the graph of the quadratic function, identify the y-intercept.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Tags

CCSS.HSF-IF.C.7A

Using the graph of the quadratic function, identify the vertex.

• (4, -6)

• (0, 2)

• (.5, 0)

• (7.5, 0)

Using the graph of the quadratic function, identify the domain.

• y > -6

• -2 < x < 10

• -∞ < x < ∞

• y < -6

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Vertex: ​ (a)   Y-intercept: ​ (b)   Axis of Symmetry: ​ (c)   Max or min: ​ (d)   Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

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

g

f

b

e

a

Axis of Symmetry: x = -2

Minimum

Axis of Symmetry: x = 0

Vertex (-2, 4)

Axis of Symmetry: x = -4

x=0

x=-4

Vertex (-4, 2)

Maximum

Tags

CCSS.HSF-IF.C.7A

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Max or Min value:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max

• y = 4

• 4,3

• (4,3)

• (-5,0)

• y = 3

• Min

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

Tags

CCSS.HSF-IF.C.7A

Vertex: ​ (a)  

Y-intercept: ​ (b)  

Axis of Symmetry: ​ (c)  

Max or min: ​ (d)  

Range:​ (e)  

• (3,4)

• (0,-5)

• x = 3

• Max @ y = 4

• ( -∞, 4]

• (4,3)

• (-5,0)

• y = 3

• [4, ∞)

• Min @ y = -5

• x = -4

• (-3, 0)

• (-1, -4)

• (0, -3)

• x = -1

• (-4, -1)

Tags

CCSS.HSF-IF.C.7A