Finding Quadratic Characteristics

What is the vertex?

• The line that cuts a parabola in half

• the highest or lowest point

• where the graph touches the x-axis

• where the graph touches the y-axis

What is the axis of symmetry?

• The line that cuts a parabola in half

• the highest or lowest point

• where the graph touches the x-axis

• where the graph touches the y-axis

What are the zeros?

• The line that cuts a parabola in half

• the highest or lowest point

• where the graph touches the x-axis

• where the graph touches the y-axis

Tags

CCSS.HSF-IF.C.7A

The domain of a parabola is always . . .

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

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)   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.

g

f

b

e

a

x=0

Axis of Symmetry: x = -4

x=-4

Maximum

Minimum

Vertex (-4, 2)

Axis of Symmetry: x = 0

Axis of Symmetry: x = -2

Vertex (-2, 4)

Tags

CCSS.HSF-IF.C.7A

• (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.

f

h

c

b

e

Minimum

Larger Zero Value

Axis of Symmetry: x = 3

Vertex (3, -4)

Axis of Symmetry: x = -4

Vertex (-4, 3)

Smaller Zero Value

Maximum

Tags

CCSS.HSF-IF.C.7A