FOIL
FACTOR
SOLVE
FIND THE VERTEX
VOCAB AND WORD PROBLEMS
100
(x + 3)(x + 1)
What is x^2 + 4x + 3
100
x^2 + 5x
What is x(x + 5)
100
x^2 + 4x + 3 = 0
What is 1, 3
100
y = x2 + 6x + 8
(hint: find the whole coordinate, not just the x value)
(-3, -1)
100
Where a quadratic equation crosses the x-axis on a graph is called the _________
Roots
200
(x - 2)(x + 3)
What is x^2 + x - 6
200
x^2 - 7x + 6
What is (x - 6)(x -1)
200
x^2 + 7x - 8 = 0
What is -8, 1
200
y = x2 - 10x + 24
Hint: Find the whole coordinate, not just the x-value
(5, -1)
200
A graph that looks like a frown is called _______ ______ , and in the equation, the x2 term is _________(positive/negative)
concave down, negative
300
(x + 3)(x -3)
What is x^2 -9
300
27x^2 + 6x
What is 3x (9x + 2)
300
x^2 -10 x -11 = 0
What is 11, - 1
300
The path of a volleyball hit over a net is given by:
h = -½d2 +5d + 2
At what distance does the ball reach its maximum height (in ft)?
5 feet
300
The term used to describe what a quadratic graph looks like is not a "line", instead it is called a __________
Parabola
400
(2x + 4)(x - 1)
What is 2x^2 + 2x -4
400
x2 - 4x - 96
(x - 12) (x + 8)
400
x2 -6x + 9 = 0
What is 3
400
A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball’s height above ground can be modeled by the equation:
h = −16t2 + 80t + 40
What is the max height of the ball and at what time does it reach this height?
140 feet at 2.5 seconds
400
FIRST COMPLETE VERTEX FOR 400! A boat in distress fires off a flare. The height, h, of the flare in meters above the water, t seconds after shooting it off is modeled by the following equation:
h = -4.9t2 + 29.4t + 3
What height above sea level was the flare shot from?
What speed was the flare shot at?
3 meters above sea level, and 29.4 meters per second
500
(2x2 + 3x - 5) (x2 - 4x + 5)
2x4 - 5x3 - 7x2 + 35x - 25
500
2x2 - 10x - 48
What is 2 (x - 8) (x + 3)
500
3x2 + 27x + 54 = 0
What is x = -3, -6
500
A boat in distress fires off a flare. The height, h, of the flare in meters above the water, t seconds after shooting it off is modeled by the following equation:
h = -4.9t2 + 29.4t + 3
What is the maximum height attained by the flare?
47.1 meters
500
Find the length and width of a field that will maximize its area if you only have 70 ft of fencing.
17.5 ft by 17.5 ft