Characteristics of Quadratics

What is the arrow pointing at? How can you use this value to determine the minimum/maximum values?

• The arrow is pointing at the y-intercept. The y value of this point is equivalent to the maximum/minimum 

• The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum

• The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum

• The arrow is pointing at the vertex. The y value is equivalent to the minimum/maximum

Does the quadratic have a max/min vertex, and does the graph open up/down?

• max/ opens down

• min/ opens up

• max/ opens up

• min/ opens down

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

Tags

CCSS.HSF-IF.C.7A

• (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

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

Vertex (-2, 4)

x=0

Axis of Symmetry: x = -4

Axis of Symmetry: x = 0

Maximum

x=-4

Minimum

Axis of Symmetry: x = -2

Vertex (-4, 2)

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

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

Larger Zero Value

Vertex (3, -4)

Maximum

Smaller Zero Value

Axis of Symmetry: x = 3

Axis of Symmetry: x = -4

Minimum

Vertex (-4, 3)

Tags

CCSS.HSF-IF.C.7A