Factor
A.O.S
Vertex Form
Make a Table
Find Zeros
(X-Intercepts)
100

x2 − 7x − 18

(x − 9)(x + 2)

100

y = -2x² + 4x – 9

x = 1

100

What is Vertex Form?

y = a(x -h)2 + k

100

Make A Table Given the Function:

y = -x2


(Must Have 5 Points!; A.O.S; Vertex)

x|y

2|-4

1|-1

0|0

-1|-1

-2|-4

100

Find the Zeros: X - Intercepts 

Use Any: Tables, Graphs or Factoring 

WRITE ANSWERS AS {X = #} !!!!

y = x2 - 4x - 5

X = {-1, 5}

200

x2 − 9x + 8

(x − 1)(x − 8)

200

y = -x² + 4x - 4

x = 2

200

y = x2 + 16x + 71

y = (x + 8)2 + 7

200

Make A Table Given the Function:

y = x2 + 1


(Must Have 5 Points!; A.O.S; Vertex)

x|y

2|5

1|2

0|0

-1|2

-2|5

200

Find the Zeros: X - Intercepts 

Use Any: Tables, Graphs or Factoring 

WRITE ANSWERS AS {X = #} !!!!

y = x2 − 7x − 18

x = {-2,9}

300

7x2 − 31x − 20

(7x + 4)(x − 5)

300

y = x2 + 17

x = 0

300

y = 2x2 + 36x + 170

y = 2(x + 9)2 + 8

300

Make A Table Given the Function:

y = (x - 4)2


(Must Have 5 Points!; FOIL; A.O.S; Vertex)

x|y

6|4

5|1

4|0

3|1

2|4

300

Find the Zeros: X - Intercepts 

Use Any: Tables, Graphs or Factoring 

WRITE ANSWERS AS {X = #} !!!!

y = x2 − 9x + 8

x = {1,8}

400

4x3 + 43x2 + 30x

x(x + 10)(4x + 3)

400

y = 1/2x2 +17 - 6

x = -17

400

y = (x + 5)(x + 4)

y = (x + 9/2)2 − 1/4

400

Make A Table Given the Function:

y = −(x − 2)2 - 4


(Must Have 5 Points!; FOIL; A.O.S; Vertex)

x|y

4|-8

3|-5

2|-4

1|-5

0|-8

400

Find the Zeros: X - Intercepts 

Use Any: Tables, Graphs or Factoring 

WRITE ANSWERS AS {X = #} !!!!

y = 7x2 + 9x

x = {0,-9/7)

500

9x2 + 7x − 56

Not Factorable

500

y = 3/4x2 - 18x + 13

x = 24

500

Write an equation in Vertex form:

-Reflected across the X - Axis

-Compressed by a factor of 3

-Moved left 7 Units 

-Moved Up 18 Units 

y = -1/3(x + 7)2 + 18

500

Make A Table Given the Function:

y = -1/3(x - 9)2 + 6 


(Must Have 5 Points!; A.O.S; Vertex)

x|y

11| 4 & 2/3

10| 5 & 2/3

9| 6

8| 5 & 2/3

7| 4 & 2/3

500

Find the Zeros: X - Intercepts 

Use Any: Tables, Graphs or Factoring 

WRITE ANSWERS AS {X = #} !!!!

y = 7x2 − 45x − 28

x = {-4/7,7}