Vocabulary
Factoring
What Would You Solve For?
Just Plain Solving
Real World Situations
100
Where a the graph of a function crosses the y-axis.
Y-Intercept
100

Factor:


x^2 + 7x + 12

(x + 3)(x + 4)
100
Find the maximum height of an object thrown off a building. 
Vertex
100
Find the y-intercept (write as a coordinate point)


4x^2 + 2x - 50



(0,-50)
100
A coin is tossed off a bridge. The path of the coin can be modeled by the equation -16t^2 + 72t + 100. 


What was the height of the bridge the coin started on?

100 ft.
200
Where the graph of a quadratic function crosses the X-Axis
Zeros, Roots, or Solutions
200
Factor:


x^2 - 81

(x - 9)(x + 9)
200
The starting depth of a shark swimming to the surface.
Y-Intercept
200
Find the y-intercept (write answer as coordinate point)


6x^2 - 3x + 50 = 200

(0, -150)
200

A coin is tossed off a bridge. The path of the coin can be modeled by the equation -16t^2 + 72t + 100. 

What was the maximum height of the coin? (Answer should be a single number).

181 ft.
300

Why is the function f(x) = 4x^3 NOT a quadratic function?

The exponent.
300
Factor:


x^2 - 199x - 200

(x + 1)(x - 200)
300
How long did it take a rocket to reach the ground?
Zeros
300
Find the vertex 


2.5x^2 + 10x - 40

(-2, -50)
300
The depth of a fish swimming to the surface can be modeled by the equation 11x^2 - 24 = 2x^2 + 12.


What was the fishes starting depth (in inches)?

-36 inches
400
The line that cuts a quadratic function into equal halves.
Axis of Symmetry
400
9x^2 - 144
(3x - 12)(3x + 12)
400
When the amount in a bank account reaches $0.
Zeros
400
Find the vertex.


3x^2 + 25 = -15

(0, 40)
400

The depth of a fish swimming to the surface can be modeled by the equation 11x^2 - 24 = 2x^2 + 12.

After how many seconds did the fish reach the surface?

2 seconds
500
The U-Shaped Curve formed by a Quadratic Equation
Parabola
500
Find the zeros:


(x^2 - 4)(x + 7)

(-2, 0) (2, 0) (-7, 0)
500
How much higher was a firework's maximum height than its starting height?
Vertex and Y-Intercept
500
Find the zeros: 5x^2 + 3x + 1
No Real Solution
500
Two children throw sticks off a bridge into a stream.


The first child's stick can be modeled by -x^2 + 2x + 10.

The second can be modeled by -x + 7.

The sticks collided in the air before reaching the stream. After how many seconds did they collide?

3.79 seconds
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