Graphing
Factoring
Completing the Square
Quadratic Formula
Discriminant
100
What does a quadratic equation graph as?
parabola
100
What are the 7 methods of factoring?
GCF, DOTS, SOC/DOC, LT, ST, PS, Grouping
100
True or False:
The x2 can have a coefficient in front
False
100
What is the quadratic formula?
100
What is the formula for the discriminant?
b2 – 4ac
200
What is the vertex?
f(x)=(x+6)2+9
(-6,9)
200
Factor
24a2b-40ab
8ab(3a-5)
200
What is the formula for what you add to both sides?
(1/2b)2
200
Solve using the Quadratic Formula
x2+3x-4=0
x = {-4, 1}
200
What is the nature of the root if the discriminant is 0?
1 real
300
What is the formula for the axis of symmetry in a standard form equation?
x = -b/2a
300
Factor
16x^2-9
(4x+3)(4x-3)
300
Complete the Square
x2+6x+8=0
x= {-4, -2}
300
Solve using the Quadratic Formula
4x2+19x-5=0
x = {1/4, -5}
300
What is the discriminant? What is the nature of the root?
2x2+20x+50=0
D=0
1 real
400
What is the range of a parabola that points upwards and has an optimum value of -7?
(-7, +infinity)
400
Factor
6c2-13c-5
(3c+1)(2c-5)
400
Complete the Square
p2+14p-38=0
x= {-7+/- √87)
400
Solve using the Quadratic Formula
m4-625=0
x = {+/- 5, +/- 5i}
400
What is the discriminant? What is the nature of the root?
x2-4x=-13
D= -36
2 imaginary
500
What is the root?
4x2-12x=-9
{1.5}
500
Factor
xy-2x+2y-4
(2+x)(y-2)
500
Complete the Square
b2+2b=-20
b = {-1 +/- √19}
500
Solve using the Quadratic Formula
(3x-2)2-5(3x-2)-6=0
x = {1/3, 8/3}
500
What is the discriminant? What is the nature of the root?
x+7/3x+2/3=0
D= 25
2 rational