Factoring
Real World Quadratics
Vertex Form
Characteristics of a Quadratic
Find The Vertex
100
Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0
x = 7 x = -2
100
What is the initial height? (include units)
25 meters
100
What is the vertex of the following equation y=(x+1)2-4?
(-1,4)
100
Open up or down? Max or Min? 
Opens down
Maximum
100
Find the axis of symmetry using x = -b/2a
y =-x2+8x-15
x = 4
200
What are the roots of the equation
(x + 2)(2x + 1)= 0
x = -2 x = -1/2
200
What is the vertex including the meaning and axis of symmetry?
Vertex: (1, 30) after 1 second the diver is 30 meters high.
Axis of symmetry x = 1
200
Write the equation in vertex form?
y=(x+1)2-4
200
What is the vertex and axis of symmetry?
Vertex (7, 1)
Axis x = 7
200
Find the axis of symmetry.
y = x2 - 2x
x = 1
300
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5 x = 1
300
What is the domain?
Domain: 0 < x < 3.5
300
Write the equation in vertex form if the graph translates 3 right and 4 down
y=(x-3)2-4
300
What are the zeros?
(6, 0) and (8, 0)
300
Find the axis of symmetry of
y = 3x2 + 12x + 3
x = -2
400
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9 x = -3
400
What is the domain and range?
Range: 0 < y < 30
400
Write the equation in vertex form. 
y = -(x + 1)2 + 8
400
What is the domain and range?
Domain: all real numbers
Range: y < 1
400
Find the vertex of:
f(x)=-x2 - 4x
(-2,4)
500
What is the axis of symmetry given the equation:
(x + 2)(x - 4) = 0
Axis x = 1
500
When does the diver reach the water?
3.5 seconds
500
Write the equation of the graph in vertex form 
y=-(x-7)2+1
500
What is the equation in vertex and factored form?
Vertex form: y = -(x -7)2 + 1
Factored form: y = -(x-6)(x-8)
500
Find the vertex
y = 3x2 + 12x + 3
(-2, -9)