Properties of Quadratics
Box or Foil
Solving Quadratic Equations
Linear applications
Characteristics
100
This is the shape of a quadratic function.
What is a parabola?
100
(x-2)(x-4)
x2 -6x + 8
100
This is another name for a root, or an x-intercept.
What is a zero?
100
What point do you look at for the starting height?
What is a y-intercept?
100
What is the domain of the following function?
What is All Real Numbers?
200
It is the standard formula for quadratic function (write with no numbers, check your notes!)
What is y = ax2 + bx + c?
200
(2x-3)(x+2)
2x2 +x -6
200
What is the appropriate domain for the path of a ball thrown into the air at zero seconds and landing 5 seconds. The ball was thrown from a height of 6 feet
0<x<5
200
What point should you look at to find when the ball hits the ground?
What is the positive x-intercept, solution, zero, or root?
200
What is the range of the function?
What is y>= -9?
300
You would use this form of a quadratic function with two sets of parenthesis and no square (or like y = x(x-a)
What is factored form?
300
(x+5)(-x-2)
-x2 +3x - 10
300
A parabola is concave down (like a frown). when x = 2, y =14. When x =4, y = 14. Is x=3 higher or lower than 14.
Higher! because it is like a symmetrical hill.
300
What value should you look at to find the maximum height? The ___ of the ________.
What is the y of the vertex?
300
The axis of symmetry for the following function.
What is x=2?
400
It is the type of function represented by the following data:
x| -2 | -1 | 0 | 1 | 2|
y| 10 | 13| 16| 19| 22|
What is a linear function? Because it goes up by 3 with each step
400
(x-3)2
x2 -6x+ 9
400
The solution to the equation 2x2 + 5x + 3 = 0?
What are x = -3/2 and x = -1?
400
What value should you look at to find when the ball reaches the maximum height? The ___ of the _______.
What is the x of the vertex?
400
The interval of increase
What is x>2?
500
The name of the line that divides a quadratic function exactly in half.
What is the line (or axis) of symmetry?
500
(-4x +7)(-2x -5)
8x2 +6x -35
500
The solution to the equation x2 - 7x + 13.
What is no solution?
500
The selling price that would result in a maximum profit.
What is $35?
500
The interval of decrease
What is x<2 ?