Vertex Form
Standard Form
Factoring
Special Case Factoring
Miscellanious
100
y=2x2
Vertex:(0,0)
Axis of Symmetry: x=0
Minimum at (0,0)
100
y=x2-2x+4
Vertex: (1, 2)
Axis of Symmetry: x=1
Minimum @ (1,2)
100
x2+5x+6
(x+2)(x+3)
100
x2+2x+1
(x+1)2
100
Write in Vertex Form:
y=x2-4x+6
y=(x-2)^2-2
200
y=(x-1)2+2
Axis of Symmetry: x=1
Vertex: (1,2)
Minimum (1,2)
200
y=-x2+2x+1
Vertex: (1,2)
Axis of Symmetry: (1,2)
Maximum @ (1,2)
200
x2-2x-8
(x-4)(x+2)
200
x2-25
(x+5)(x-5)
200
y=x2+2x+5
y=(x+1)2+4
300
y=2(x-2)2+5
Vertex: (2,5)
Axis of Symmetry: x=2
Minimum: (2,5)
300
y=2x2-6x+3
Vertex: (3/2, -3/2)
Axis of Symmetry: x=3/2
Minimum @ (3/2, -3/2)
300
-x2+3x+40
-(x-8)(x+5)
300
y=4x2-49
(2x+7)(2x-7)
300
y=-2x2+8x+3
y=-2(x-2)2+11
400
y=-(x-1)2-4
Vertex: (1,-4)
Axis of Symmetry: x=1
Maximum @ (1, -4)
400
y=-2x-3x+4
Vertex: (-3/4, 5 1/8)
Axis of Symmetry: x= -3/4
Maximum at (-3/4, 5 1/8)
400
2x2-19x+24
(2x-3)(x-8)
400
y=16x2-81
(4x+9)(4x-9)
400
y=2/3 (x-3)2+1
500
y=-3(x+7)2-8
Vertex: (-7,-8)
Axis of Symmetry: x=-7
Maximum @ (-7,-8)
500
y=-3x2-4x+6
Vertex: (-2/3, 7 1/3)
Axis of Symmetry: x= -2/3
Maximum: (-2/3, 7 1/3)
500
5r2+23r+29
(5r+13)(r+2)
500
4x2+12x+9
(2x+3)2
500
y=−3(x+2)2+4