Factoring
Basics
Solving Quadratics
Vertex Form
100
What if the Greatest Common Factor between 8, 12, and 16
4
100
What is the name of the graph of a quadratic?
Parabola
100
Solve
x^2-8x+12=0
x = 6, 2
100
Which direction does the graph open?
f(x)=-1/3x^2
Down
200
What is the Greatest Common Factor (GCF) between 12x2 and 15x?
3x
200
What is the name of the point where the parabola changes direction?
Vertex
200
Solve
x^2+6x-27=0
x = -9, 3
200
Identify the vertex
f(x)=1/2(x-3)^2-7
(3, -7)
300
Factor out the GCF of
2x^2+6x-18
2(x^2+3x-9)
300
What is the name of the vertical line that passes through the vertex of a parabola?
Axis of Symmetry
300
Solve
x^2+3x=18
x = 3, -6
300
Identify the axis of symmetry of
f(x)=1/2(x-3)^2-7
x = 3
400
Factor the trinomial
x^2+7xy-18y^2
(x - 2y)(x + 9y)
400
Which parabola is wider?
f(x)=-2x or f(x)=0.75x
f(x)=0.75x
400
Solve
x^2-8x=2x-24
x = 6, 4
400
Does the function have a minimum or maximum? Identify its value.
f(x)=1/2(x-3)^2-7
Minimum = -7
500
Factor completely:
3x^2-27x+42
3(x-7)(x-2)
500
What is the vertex of the parabola?
(2, -4)
500
Solve
2x^2+60=-22x
x = -5, -6
500
Write the function in Vertex Form
f(x)=-(x-2)^2-4