Characteristic of Quadratic Function

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both

Tags

CCSS.HSF-IF.C.7A

Determine if the function graphed has a maximum or a minimum value and identify that value.

• maximum at -1

• minimum at -1

• maximum at 4

• minimum at 4

Tags

CCSS.HSF-IF.C.7A

What piece of information does c identify in the following equation?
y=ax²+bx+c

• Zeroes

• Axis of Symmetry

• Direction

• y-intercept

What direction is the following equation opening?
y=-3x²-7x+8

• Up

• Down

• Left

• Right

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

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)

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.

g

f

b

e

a

Minimum

x=0

x=-4

Axis of Symmetry: x = 0

Axis of Symmetry: x = -4

Axis of Symmetry: x = -2

Vertex (-4, 2)

Maximum

Vertex (-2, 4)

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