Find the Vertex
Factoring
Completing the Square
Quadratic Formula
Transformations
100
Find the vertex. y = -3(x+2)2 - 10
(-2, -10)
100
Solve by Factoring: 0=x2+7x+12
(x+3)(x+4) ==> x = -3, -4
100
Solve by completing the square. x2+6x-5=0
x= -3± √ 14 
100
Solve by the quadratic formula. x2-5x-1=0
x= (5± √ 33  )/2
100
Identify the transformations and the location of the vertex: y=(x+2)2-10
left 2, down 10 vertex: (-2, -10)
200
Find the vertex. y=x2+10x+16
(-5, -9)
200
Solve by factoring. y=25x2 - 36
(5x+6)(5x-6) ==> x=6/5 , -6/5
200
Solve by completing the square. 2x2-16x+1=-1
x = 4± √ 15 
200
Solve by the quadratic formula. f(x) = 2x2-6x-3=4
x= (3± √ 23  )/2
200
Identify the transformations, the vertex, AND graph. y= -3(x-1)2-5
right 1, down 5, reflected over x-axis, and stretch by factor of 3. VERTEX: (1, -5)
300
Find the vertex. y-5=4x2+8x-3
(-1, -2)
300
Solve by factoring: 3x2+10x-5=3
(3x-2)(x+4) ===>2/3, -4
300
Convert to vertex form by completing the square. f(x)=x2-4x+13
f(x)=(x-2)2+9
300
Solve by quadratic formula. 3x2 - 2= - 5x
x= -2, 1/3
300
Write the equation in vertex form of a quadratic that has a vertex at (-8, 12), has been compressed by a factor of 1/3 and is facing downwards.
f(x) = -1/3(x+8)2+12
400
Find the vertex. y=-7x2-15x+21
(1.07, 29.04)
400
Factor completely y=12x2-27
3(2x-3)(2x+3)
400
Convert to vertex form by completing the square. f(x)=-3x2-18x-7
f(x)=-3(x-3)2+20
400
Solve by quadratic formula. 5k2+1=6-18k
x= (-9± √ 106  )/5
400
Write the equation of a quadratic that has been flipped over, stretched by a factor of 10, and has a vertex of (7, -2).
f(x) = -10(x-7)2-2
500
Solve by Factoring. 6x2-39x-45=0
3(2x-15)(x+1) ====> (x= 15/2, -1)
500
Convert to vertex form by completing the square: f(x) = 2x2-5x+8
f(x)=2(x-1.25)2+4.88
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