Properties
Factoring
Completing the Square
Quadratic Formula
Write the equation given the roots
100
What is the formula for the axis of symmetry?
-b/2a
100
What are the four ways we can factor a quadratic?
GCF, Box, Grouping, Difference of Squares
100
What do you add to both sides when you are solving by completing the square?
(b/2)^2
100
What is the quadratic formula?
opposite of b plus or minus the square root of b square - 4ac all over 2a
100
What letter do the roots equal?
x
200
In vertex form, what letters represent the vertex? y=a(x-h)^2+k
(h,k)
200
What does every quadratic have to equal before we can factor?
Zero
200
Solve by completing the square: x^2 + 14x + 24 = 0
x= -2 and x= -12
200
What does the discriminant tell you?
How many solutions and what type of solutions.
200
How many roots does a quadratic have?
2
300
State the transformations: y=-2(x-4)^2
reflection across the x-axis, right 4 units
300
Solve by factoring: 3x^2-12x
x=0, x=4
300
Solve by completing the square: 8r^2 + 16r - 10 = 0
x = 1/2 and x = -5/2
300
Solve by the quadratic formula: x^2 + 4x - 12 = 0
x = 2 and x = -6
300
Write the equation with roots -3 and 5
x^2 -2x -15
400
What is the y-intercept: y=3(x+4)^2-5
(0,43)
400
Solve by factoring: 9x^2 - 25
x= 5/3 and x= -5/3
400
Solve by completing the square: 8n^2 + 9n - 45 = 0
x = 15/8 and x = -3
400
Solve by the quadratic formula: 4r^2 = -10
x = -i sqrt 10 / 2 and x = i sqrt 10 / 2
400
Write the equation with roots 2 + 3i and 2 - 3i
x^2 - 4x + 13
500
Graph the following quadratic: x^2+6x-4
Opens up y-int:(0,-4) a.o.s: x = -3 vertex: (-3,-13)
500
Solve by factoring: 6x^2 - 23x + 7
x=7/2 and x=1/3
500
Solve by completing the square: 3v^2 + 10v + 12 = 0
x = (-5 + i sqrt 11)/3 and x = (-5 - i sqrt 11)/3
500
Solve by the quadratic formula: -8x^2 - 9x + 5 = x - 9x^2
x = 5 + 2 sqrt 2 and x = 5 - 2 sqrt 2
500
Write the equation with roots 3 + sqrt 2 and 3 - sqrt 2
x^2 - 6x + 7
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