x2 − 7x − 18
(x − 9)(x + 2)
y = -2x² + 4x – 9
x = 1
What is Vertex Form?
y = a(x -h)2 + k
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
Find the Zeros: X - Intercepts
Use Any: Tables, Graphs or Factoring
WRITE ANSWERS AS {X = #} !!!!
y = x2 - 4x - 5
X = {-1, 5}
x2 − 9x + 8
(x − 1)(x − 8)
y = -x² + 4x - 4
x = 2
y = x2 + 16x + 71
y = (x + 8)2 + 7
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
Find the Zeros: X - Intercepts
Use Any: Tables, Graphs or Factoring
WRITE ANSWERS AS {X = #} !!!!
y = x2 − 7x − 18
x = {-2,9}
7x2 − 31x − 20
(7x + 4)(x − 5)
y = x2 + 17
x = 0
y = 2x2 + 36x + 170
y = 2(x + 9)2 + 8
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
Find the Zeros: X - Intercepts
Use Any: Tables, Graphs or Factoring
WRITE ANSWERS AS {X = #} !!!!
y = x2 − 9x + 8
x = {1,8}
4x3 + 43x2 + 30x
x(x + 10)(4x + 3)
y = 1/2x2 +17 - 6
x = -17
y = (x + 5)(x + 4)
y = (x + 9/2)2 − 1/4
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
Find the Zeros: X - Intercepts
Use Any: Tables, Graphs or Factoring
WRITE ANSWERS AS {X = #} !!!!
y = 7x2 + 9x
x = {0,-9/7)
9x2 + 7x − 56
Not Factorable
y = 3/4x2 - 18x + 13
x = 24
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
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
Find the Zeros: X - Intercepts
Use Any: Tables, Graphs or Factoring
WRITE ANSWERS AS {X = #} !!!!
y = 7x2 − 45x − 28
x = {-4/7,7}