Quadratic Functions
Polynomials and Factoring
Sequences and Graphing
Random
Vocabulary
100
What is the degree of all quadratic functions?
2
100
Simplify the expression below.
(4+3)2 + (4+32)
62
100
What is the missing term in the arithmetic sequence below?
8, 14, 20, __ , 32, 38, 44
26
100
The expression below represents the area, in square meters, of a rectangle.
x2 + 6x - 27
What are the side lengths of the rectangle?
(x+9)(x-3)
100
Undefined slope looks like a ___________ line.
Vertical
200
What are the solutions of the following quadratic function?
x2 + 4x - 2
2, -2
200
What is equivalent to the expression below?
(x+3)(x+5)
x2 + 8x + 15
200
What is the next term in the geometric sequence below?
1/12 , 1/2 , 3, 18, __
108
200
What is the factored form of the quadratic function below?
x2 + 7x + 12
(x+3) (x+4)
200
A line with a slope of 0 looks like a __________ line.
horizontal
300
Consider this function.
f(x) = (x - 3)2 + 4
(3,4)
300
What is equivalent (or the factored form) to the expression below?
x2 - 121
(x+11) (x-11)
300
What is the equation of the line above?
y = 1/2x - 2
300
What is equivalent to the following expression?
2x2(2x2+6x+5)
4x4+12x3+10x2
300
Parallel lines have the same _________ but different _________.
slope, y-intercepts
400
What is the solution to the equation below?
x2 = 289
x = 17
400
Which of the following is equivalent to the expression below?
(3m2 + 6) + (8m2 - 4m)
11m2 - 4m + 6
400
What is the slope of the line above?
Slope = -1/2
400
A ball is rolled off a ledge that is 100 meters above the ground. The height of the ball, in meters, can be calculated by using the formula below.
height = 100 - 5.1t2
In the formula, [t] is the total elapsed time, in seconds, since the ball was rolled off the ledge.
What is the height of the ball after 3 seconds?
54.1 meters
400
What is the standard form and vertex form of a quadratic function?
standard form: ax2 + bx + c
vertex: f(x) = a(x - h)2 + k
500
What is one solution to the quadratic function below?
x2 + 3x - 28
-7 or 4
500
What is equivalent to the expression below?
(x4y2z)(xy2z2)
x5y4z3
500
Give me an example of a line that is parallel and a line that is perpendicular to the line below.
y = 2x + 6
Answers may vary.
500
What is a, h, and k and what affect does it have in the function below. What is the vertex?
f(x) = 2(x + 4)2 - 3
a = 2 , h = -4 , k = -3
vertex: (-3 , -4)
a makes the function more narrow and faces the parabola upwards. h shifts the graph 4 units to the left. k shifts the graph 3 units down.
500
Solutions to a quadratic function are also known as the _________.
x-intercepts or zeros