Characteristics of Quadratics and Their Graphs

• (4,8)

• (4, -8)

• (-4, 8)

• (-4, -8)

State the range

State the interval on which the function is increasing

State the interval on which the function is decreasing

• x = -4

• (-3, 0)

• (-1, -4)

• (0, -3)

• x = -1

• (-4, -1)

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

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

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)

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

f

h

c

b

e

Maximum

Larger Zero Value

Vertex (3, -4)

Axis of Symmetry: x = 3

Smaller Zero Value

Minimum

Vertex (-4, 3)

Axis of Symmetry: x = -4

• (0, 4)

• x = 2

• (4, 0)

• x = -2

• (2, 6)

• (5, 0)