Factoring
Discriminant
Characteristics of a quadratic function
Solving w/ various methods
Vocabulary
100
27x2-3x
3x(9x-1)
100
Find the discriminant
-8±√82-4(6)(4)/2(6)
-32, 0 solutions
100
Find the axis of symmetry
x2-4x+2
x=2
100
Solve (perfect square)
4x2-16x=16
x=2
100
The sum of two monomials
Binomial
200
6x2+4x-10
2(x-1)(3x+5)
200
7x2-9x=-5
-59, 0 solutions
200
Find the vertex (determine min. or max.)
3x2-12x-7
(2,-19) min.
200
Solve (Perfect square)
(x+9)2 =49
X=-2,-16
200
set of the first # of ordered pairs
Bar graph
300
ln+4n-l-4
(n-1)(l+4)
300
How many solutions?
3x2+7=6x
0 real solutions
300
State the domain and range
2x2+4x-11
Domain: All reals
Range: {y/y ≥-3}
300
Solve (Perfect square)
x2+10x=11
x=1,-11
300
An equation that states the rules for relationships
formula
400
7q-6q2-4q+9
-3(2q-3)(q+1)
400
State the discriminant and the number of solutions
9x2-6x+1=0
=0, 1 solution
400
Find the y-intercept
4x2+2x-7
y=-7
400
Solve using quadratic formula
x2-4x+3=0
x=3,1
400
A relation where elements in domain is paired with range
function
500
48yx-90y+32x-60
2(3y+2)(8x-15)
500
DRaw an example graph using discriminant and the number of solutions.
x2+3x+4=0
500
Find the Domain, Range, Min./Max., vertex and the y-intercept
2x2-4x-6
Domain: All reals
Range: {y/y ≥-8}
Min, -8
Vertex, (1,-8)
y-intercept = -6
500
Solve with perfect squares
y2-3/2y+9/16
x= 3/4
500
THe graphed form of a quadratic function.
Parabola