Factoring Quadratics to Find Key Features of a Quadratic Graph

Write the equation for the function graphed in factored form

Hint: find the solutions and work backwards

• y = (x + 1)(x + 5)

• y = (x - 1)(x - 5)

• y = -(x + 1)(x + 5)

• y = -(x - 1)(x - 5)

Tags

CCSS.HSF-IF.C.7A

Find the x-intercepts of the quadratic function by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Find the axis of symmetry:

• x = 1

• x = 3

• x = 5

• x = -4

Match each point with the key feature it represents according to the graph

• Point A

• y-intercept

• Point B

• not a key feature

• Point C

• right zero

• Point D

• vertex

• Point E

• left zero

Tags

CCSS.HSF-IF.C.7A

The vertex is the - and the axis of symmetry is -​ (a)   ​ ​ (b)   ​

• (2,1)

• x=2

• (1,2)

• y=1

• (0,5)

Match the following

• (0,-40)

• vertex

• (3,-49)

• left x intercept

• (-4,0)

• right x intercept

• (10,0)

• y intercept

Tags

CCSS.HSF-IF.C.7A

Label the correct key features of the graph.

a

b

c

Axis of Symmetry

Vertex

x-intercept

Tags

CCSS.HSF-IF.C.7A

The ​ (a)   value of the function graphed is ​ (b)  

• minimum

• -9

• -4

• -5

• -10

• maximum

• 11

Tags

CCSS.HSF-IF.C.7A

Select the vertex.

Label the graph to the right with each of the following characteristics

a

c

Zero

Minimum

Maximum

Tags

CCSS.HSF-IF.C.7A